748730564400 has 1440 divisors, whose sum is σ = 3222801727488. Its totient is φ = 146893824000.

The previous prime is 748730564383. The next prime is 748730564429. The reversal of 748730564400 is 4465037847.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 748730564400.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 650503825 + ... + 650504975.

Almost surely, 2^748730564400 is an apocalyptic number.

748730564400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748730564400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1611400863744).

748730564400 is an abundant number, since it is smaller than the sum of its proper divisors (2474071163088).

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

748730564400 is a wasteful number, since it uses less digits than its factorization.

748730564400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 48.

The spelling of 748730564400 in words is "seven hundred forty-eight billion, seven hundred thirty million, five hundred sixty-four thousand, four hundred".