5879759760 has 640 divisors, whose sum is σ = 24731750400. Its totient is φ = 1254113280.

The previous prime is 5879759759. The next prime is 5879759761. The reversal of 5879759760 is 679579785.

It is an interprime number because it is at equal distance from previous prime (5879759759) and next prime (5879759761).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5879759761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27866055 + ... + 27866265.

It is an arithmetic number, because the mean of its divisors is an integer number (38643360).

Almost surely, 2^5879759760 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 5879759760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12365875200).

5879759760 is an abundant number, since it is smaller than the sum of its proper divisors (18851990640).

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

5879759760 is a wasteful number, since it uses less digits than its factorization.

5879759760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 356 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 33339600, while the sum is 63.

The square root of 5879759760 is about 76679.5915482079. The cubic root of 5879759760 is about 1804.9002034536.

The spelling of 5879759760 in words is "five billion, eight hundred seventy-nine million, seven hundred fifty-nine thousand, seven hundred sixty".