5977407264 has 96 divisors (see below), whose sum is σ = 16639209216. Its totient is φ = 1872384000.

The previous prime is 5977407229. The next prime is 5977407269. The reversal of 5977407264 is 4627047795.

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 (51).

It is not an unprimeable number, because it can be changed into a prime (5977407269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1223194 + ... + 1228070.

It is an arithmetic number, because the mean of its divisors is an integer number (173325096).

Almost surely, 2^5977407264 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 5977407264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319604608).

5977407264 is an abundant number, since it is smaller than the sum of its proper divisors (10661801952).

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

5977407264 is a wasteful number, since it uses less digits than its factorization.

5977407264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5658 (or 5650 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 51.

The square root of 5977407264 is about 77313.6938970064. The cubic root of 5977407264 is about 1814.8369615785.

The spelling of 5977407264 in words is "five billion, nine hundred seventy-seven million, four hundred seven thousand, two hundred sixty-four".