74672748582432 has 1728 divisors, whose sum is σ = 283884358431744. Its totient is φ = 16684289556480.

The previous prime is 74672748582413. The next prime is 74672748582463. The reversal of 74672748582432 is 23428584727647.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38630494938 + ... + 38630496870.

It is an arithmetic number, because the mean of its divisors is an integer number (164284929648).

Almost surely, 2^{74672748582432} 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 74672748582432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141942179215872).

74672748582432 is an abundant number, since it is smaller than the sum of its proper divisors (209211609849312).

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

74672748582432 is a wasteful number, since it uses less digits than its factorization.

74672748582432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131 (or 2093 counting only the distinct ones).

The product of its digits is 1011548160, while the sum is 69.

The spelling of 74672748582432 in words is "seventy-four trillion, six hundred seventy-two billion, seven hundred forty-eight million, five hundred eighty-two thousand, four hundred thirty-two".