642854575440 has 480 divisors, whose sum is σ = 2791337342976. Its totient is φ = 133579860480.

The previous prime is 642854575427. The next prime is 642854575457. The reversal of 642854575440 is 44575458246.

642854575440 is a `hidden beast` number, since 6 + 4 + 2 + 8 + 545 + 7 + 54 + 40 = 666.

642854575440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-5 number, since 5×642854575440⁵ (a number of 60 digits) contains 55555 as substring.

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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1282149 + ... + 1711611.

Almost surely, 2^642854575440 is an apocalyptic number.

642854575440 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 642854575440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1395668671488).

642854575440 is an abundant number, since it is smaller than the sum of its proper divisors (2148482767536).

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

642854575440 is a wasteful number, since it uses less digits than its factorization.

642854575440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429509 (or 429491 counting only the distinct ones).

The product of its (nonzero) digits is 21504000, while the sum is 54.

The spelling of 642854575440 in words is "six hundred forty-two billion, eight hundred fifty-four million, five hundred seventy-five thousand, four hundred forty".