748615464960 has 384 divisors, whose sum is σ = 2618650944000. Its totient is φ = 181070069760.

The previous prime is 748615464959. The next prime is 748615464997. The reversal of 748615464960 is 69464516847.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×748615464960² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 748615464894 and 748615464903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164564766 + ... + 164569314.

It is an arithmetic number, because the mean of its divisors is an integer number (6819403500).

Almost surely, 2^748615464960 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 748615464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1309325472000).

748615464960 is an abundant number, since it is smaller than the sum of its proper divisors (1870035479040).

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

748615464960 is a wasteful number, since it uses less digits than its factorization.

748615464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5077 (or 5057 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 60.

The spelling of 748615464960 in words is "seven hundred forty-eight billion, six hundred fifteen million, four hundred sixty-four thousand, nine hundred sixty".