748786657320 has 960 divisors, whose sum is σ = 2906034919920. Its totient is φ = 172247482368.

The previous prime is 748786657279. The next prime is 748786657321. The reversal of 748786657320 is 23756687847.

748786657320 is a `hidden beast` number, since 7 + 487 + 8 + 6 + 65 + 73 + 20 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 81529665156 + 667256992164 = 285534^2 + 816858^2 .

It is not an unprimeable number, because it can be changed into a prime (748786657321) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 2392289484 + ... + 2392289796.

Almost surely, 2^748786657320 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 748786657320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453017459960).

748786657320 is an abundant number, since it is smaller than the sum of its proper divisors (2157248262600).

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

748786657320 is a wasteful number, since it uses less digits than its factorization.

748786657320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 610 counting only the distinct ones).

The product of its (nonzero) digits is 94832640, while the sum is 63.

The spelling of 748786657320 in words is "seven hundred forty-eight billion, seven hundred eighty-six million, six hundred fifty-seven thousand, three hundred twenty".