6132956640 has 48 divisors (see below), whose sum is σ = 19318814928. Its totient is φ = 1635454976.

The previous prime is 6132956623. The next prime is 6132956671. The reversal of 6132956640 is 466592316.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×6132956640² = 75226314296240179200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6132956592 and 6132956601.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6388017 + ... + 6388976.

It is an arithmetic number, because the mean of its divisors is an integer number (402475311).

Almost surely, 2^6132956640 is an apocalyptic number.

6132956640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6132956640 is an abundant number, since it is smaller than the sum of its proper divisors (13185858288).

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

6132956640 is a wasteful number, since it uses less digits than its factorization.

6132956640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12777011 (or 12777003 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 6132956640 is about 78313.1958229263. The cubic root of 6132956640 is about 1830.4447782693. Note that the first 3 decimals are identical.

The spelling of 6132956640 in words is "six billion, one hundred thirty-two million, nine hundred fifty-six thousand, six hundred forty".