42797568000 has 832 divisors, whose sum is σ = 165602361600. Its totient is φ = 9699328000.

The previous prime is 42797567987. The next prime is 42797568101. The reversal of 42797568000 is 86579724.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 287231926 + ... + 287232074.

It is an arithmetic number, because the mean of its divisors is an integer number (199041300).

Almost surely, 2^42797568000 is an apocalyptic number.

42797568000 is a gapful number since it is divisible by the number (40) 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 42797568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82801180800).

42797568000 is an abundant number, since it is smaller than the sum of its proper divisors (122804793600).

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

42797568000 is a wasteful number, since it uses less digits than its factorization.

42797568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 48.

The spelling of 42797568000 in words is "forty-two billion, seven hundred ninety-seven million, five hundred sixty-eight thousand".