42064754004 has 384 divisors, whose sum is σ = 142086389760. Its totient is φ = 10458201600.

The previous prime is 42064753987. The next prime is 42064754023. The reversal of 42064754004 is 40045746024.

42064754004 is a `hidden beast` number, since 4 + 2 + 0 + 647 + 5 + 4 + 0 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 42064754004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16047814 + ... + 16050434.

It is an arithmetic number, because the mean of its divisors is an integer number (370016640).

Almost surely, 2^42064754004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42064754004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71043194880).

42064754004 is an abundant number, since it is smaller than the sum of its proper divisors (100021635756).

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

42064754004 is a wasteful number, since it uses less digits than its factorization.

42064754004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2748 (or 2740 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 36.

The spelling of 42064754004 in words is "forty-two billion, sixty-four million, seven hundred fifty-four thousand, four".