42701624064 has 756 divisors, whose sum is σ = 147378581056. Its totient is φ = 12317184000.

The previous prime is 42701624011. The next prime is 42701624083. The reversal of 42701624064 is 46042610724.

42701624064 is a `hidden beast` number, since 4 + 27 + 0 + 1 + 624 + 0 + 6 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 700026594 + ... + 700026654.

Almost surely, 2^42701624064 is an apocalyptic number.

42701624064 is a gapful number since it is divisible by the number (44) 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 42701624064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73689290528).

42701624064 is an abundant number, since it is smaller than the sum of its proper divisors (104676956992).

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

42701624064 is an equidigital number, since it uses as much as digits as its factorization.

42701624064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 42701624064 in words is "forty-two billion, seven hundred one million, six hundred twenty-four thousand, sixty-four".