42904255680 has 672 divisors, whose sum is σ = 182530333440. Its totient is φ = 9093980160.

The previous prime is 42904255643. The next prime is 42904255703. The reversal of 42904255680 is 8655240924.

42904255680 is a `hidden beast` number, since 4 + 2 + 90 + 4 + 2 + 556 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 7822219 + ... + 7827701.

It is an arithmetic number, because the mean of its divisors is an integer number (271622520).

Almost surely, 2^42904255680 is an apocalyptic number.

42904255680 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 42904255680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91265166720).

42904255680 is an abundant number, since it is smaller than the sum of its proper divisors (139626077760).

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

42904255680 is a wasteful number, since it uses less digits than its factorization.

42904255680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5549 (or 5536 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 42904255680 in words is "forty-two billion, nine hundred four million, two hundred fifty-five thousand, six hundred eighty".