642987417600 has 1512 divisors, whose sum is σ = 2682971169480. Its totient is φ = 150847488000.

The previous prime is 642987417577. The next prime is 642987417623. The reversal of 642987417600 is 6714789246.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

642987417600 is a `hidden beast` number, since 6 + 4 + 29 + 8 + 7 + 4 + 1 + 7 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (642987417577) and next prime (642987417623).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 20741529585 + ... + 20741529615.

Almost surely, 2^642987417600 is an apocalyptic number.

642987417600 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642987417600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341485584740).

642987417600 is an abundant number, since it is smaller than the sum of its proper divisors (2039983751880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642987417600 is a wasteful number, since it uses less digits than its factorization.

642987417600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 52 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

Multiplying 642987417600 by its sum of digits (54), we get a square (34721320550400 = 5892480²).

642987417600 divided by its sum of digits (54) gives a square (11907174400 = 109120²).

The spelling of 642987417600 in words is "six hundred forty-two billion, nine hundred eighty-seven million, four hundred seventeen thousand, six hundred".