748574682808320 has 768 divisors, whose sum is σ = 2693108162122560. Its totient is φ = 199473286348800.

The previous prime is 748574682808297. The next prime is 748574682808349. The reversal of 748574682808320 is 23808286475847.

It is a happy number.

748574682808320 is a `hidden beast` number, since 7 + 4 + 8 + 5 + 7 + 468 + 2 + 80 + 83 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×748574682808320² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60953880580 + ... + 60953892860.

Almost surely, 2^{748574682808320} 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 748574682808320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346554081061280).

748574682808320 is an abundant number, since it is smaller than the sum of its proper divisors (1944533479314240).

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

748574682808320 is an equidigital number, since it uses as much as digits as its factorization.

748574682808320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13862 (or 13822 counting only the distinct ones).

The product of its (nonzero) digits is 1156055040, while the sum is 72.

The spelling of 748574682808320 in words is "seven hundred forty-eight trillion, five hundred seventy-four billion, six hundred eighty-two million, eight hundred eight thousand, three hundred twenty".