5977912320 has 352 divisors, whose sum is σ = 21541645440. Its totient is φ = 1571880960.

The previous prime is 5977912301. The next prime is 5977912321. The reversal of 5977912320 is 232197795.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5977912321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11473660 + ... + 11474180.

Almost surely, 2^5977912320 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 5977912320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10770822720).

5977912320 is an abundant number, since it is smaller than the sum of its proper divisors (15563733120).

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

5977912320 is a wasteful number, since it uses less digits than its factorization.

5977912320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The square root of 5977912320 is about 77316.9601057879. The cubic root of 5977912320 is about 1814.8880745132. Note that the first 3 decimals are identical.

The spelling of 5977912320 in words is "five billion, nine hundred seventy-seven million, nine hundred twelve thousand, three hundred twenty".