642725136480 has 576 divisors, whose sum is σ = 2383901150400. Its totient is φ = 145126195200.

The previous prime is 642725136463. The next prime is 642725136503. The reversal of 642725136480 is 84631527246.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 844579300 + ... + 844580060.

It is an arithmetic number, because the mean of its divisors is an integer number (4138717275).

Almost surely, 2^642725136480 is an apocalyptic number.

642725136480 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 642725136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1191950575200).

642725136480 is an abundant number, since it is smaller than the sum of its proper divisors (1741176013920).

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

642725136480 is a wasteful number, since it uses less digits than its factorization.

642725136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 642725136480 in words is "six hundred forty-two billion, seven hundred twenty-five million, one hundred thirty-six thousand, four hundred eighty".