746542851600 has 360 divisors, whose sum is σ = 2995854919680. Its totient is φ = 157512176640.

The previous prime is 746542851581. The next prime is 746542851623. The reversal of 746542851600 is 6158245647.

746542851600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 746542851600.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 276081 + ... + 1252719.

Almost surely, 2^746542851600 is an apocalyptic number.

746542851600 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 746542851600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1497927459840).

746542851600 is an abundant number, since it is smaller than the sum of its proper divisors (2249312068080).

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

746542851600 is a wasteful number, since it uses less digits than its factorization.

746542851600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 976687 (or 976669 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 48.

The spelling of 746542851600 in words is "seven hundred forty-six billion, five hundred forty-two million, eight hundred fifty-one thousand, six hundred".