752821863696 has 480 divisors, whose sum is σ = 2539306224000. Its totient is φ = 212911856640.

The previous prime is 752821863601. The next prime is 752821863713. The reversal of 752821863696 is 696368128257.

It is a happy number.

752821863696 is a `hidden beast` number, since 7 + 52 + 8 + 218 + 6 + 369 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 1337161111 + ... + 1337161673.

It is an arithmetic number, because the mean of its divisors is an integer number (5290221300).

Almost surely, 2^752821863696 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 752821863696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1269653112000).

752821863696 is an abundant number, since it is smaller than the sum of its proper divisors (1786484360304).

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

752821863696 is a wasteful number, since it uses less digits than its factorization.

752821863696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1124 (or 1105 counting only the distinct ones).

The product of its digits is 52254720, while the sum is 63.

The spelling of 752821863696 in words is "seven hundred fifty-two billion, eight hundred twenty-one million, eight hundred sixty-three thousand, six hundred ninety-six".