752057046048 has 576 divisors, whose sum is σ = 2631687045120. Its totient is φ = 183553413120.

The previous prime is 752057046019. The next prime is 752057046101. The reversal of 752057046048 is 840640750257.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 752057045988 and 752057046006.

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, 196203940 + ... + 196207772.

It is an arithmetic number, because the mean of its divisors is an integer number (4568901120).

Almost surely, 2^752057046048 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 752057046048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1315843522560).

752057046048 is an abundant number, since it is smaller than the sum of its proper divisors (1879629999072).

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

752057046048 is a wasteful number, since it uses less digits than its factorization.

752057046048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4021 (or 4002 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 752057046048 in words is "seven hundred fifty-two billion, fifty-seven million, forty-six thousand, forty-eight".