5979734400 has 96 divisors (see below), whose sum is σ = 19695781800. Its totient is φ = 1594593280.

The previous prime is 5979734399. The next prime is 5979734407. The reversal of 5979734400 is 44379795.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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 5979734400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5979734407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 301845 + ... + 321044.

Almost surely, 2^5979734400 is an apocalyptic number.

5979734400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

5979734400 is an abundant number, since it is smaller than the sum of its proper divisors (13716047400).

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

5979734400 is a wasteful number, since it uses less digits than its factorization.

5979734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 622916 (or 622899 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 5979734400 is about 77328.7423924636. The cubic root of 5979734400 is about 1815.0724496575.

The spelling of 5979734400 in words is "five billion, nine hundred seventy-nine million, seven hundred thirty-four thousand, four hundred".