6136865280 has 480 divisors, whose sum is σ = 26167325184. Its totient is φ = 1294368768.

The previous prime is 6136865279. The next prime is 6136865297. The reversal of 6136865280 is 825686316.

6136865280 is a `hidden beast` number, since 6 + 1 + 368 + 6 + 5 + 280 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×6136865280² = 75322230929738956800, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2095177 + ... + 2098103.

Almost surely, 2^6136865280 is an apocalyptic number.

6136865280 is a gapful number since it is divisible by the number (60) 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 6136865280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13083662592).

6136865280 is an abundant number, since it is smaller than the sum of its proper divisors (20030459904).

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

6136865280 is a wasteful number, since it uses less digits than its factorization.

6136865280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2976 (or 2957 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6136865280 is about 78338.1470294007. The cubic root of 6136865280 is about 1830.8335537941.

The spelling of 6136865280 in words is "six billion, one hundred thirty-six million, eight hundred sixty-five thousand, two hundred eighty".