42492764160 has 896 divisors, whose sum is σ = 188732160000. Its totient is φ = 8811970560.

The previous prime is 42492764143. The next prime is 42492764173. The reversal of 42492764160 is 6146729424.

42492764160 is a `hidden beast` number, since 42 + 492 + 7 + 64 + 1 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

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 63 ways as a sum of consecutive naturals, for example, 85155591 + ... + 85156089.

Almost surely, 2^42492764160 is an apocalyptic number.

42492764160 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 42492764160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94366080000).

42492764160 is an abundant number, since it is smaller than the sum of its proper divisors (146239395840).

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

42492764160 is a wasteful number, since it uses less digits than its factorization.

42492764160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 557 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 42492764160 in words is "forty-two billion, four hundred ninety-two million, seven hundred sixty-four thousand, one hundred sixty".