6132994560 has 480 divisors, whose sum is σ = 26489054592. Its totient is φ = 1274019840.

The previous prime is 6132994547. The next prime is 6132994561. The reversal of 6132994560 is 654992316.

6132994560 is a `hidden beast` number, since 61 + 3 + 29 + 9 + 4 + 560 = 666.

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

It is a super-2 number, since 2×6132994560² = 75227244545979187200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (6132994561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1772352 + ... + 1775808.

Almost surely, 2^6132994560 is an apocalyptic number.

6132994560 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 6132994560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13244527296).

6132994560 is an abundant number, since it is smaller than the sum of its proper divisors (20356060032).

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

6132994560 is a wasteful number, since it uses less digits than its factorization.

6132994560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3504 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The square root of 6132994560 is about 78313.4379273442. The cubic root of 6132994560 is about 1830.4485508011.

The spelling of 6132994560 in words is "six billion, one hundred thirty-two million, nine hundred ninety-four thousand, five hundred sixty".