6132582973440 has 1728 divisors, whose sum is σ = 27713506302720. Its totient is φ = 1272321146880.

The previous prime is 6132582973427. The next prime is 6132582973511. The reversal of 6132582973440 is 443792852316.

6132582973440 is a `hidden beast` number, since 6 + 1 + 3 + 2 + 5 + 8 + 297 + 344 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×6132582973440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9537453759 + ... + 9537454401.

It is an arithmetic number, because the mean of its divisors is an integer number (16037908740).

It is a 1-persistent number, because it is pandigital, but 2⋅6132582973440 = 12265165946880 is not.

Almost surely, 2^{6132582973440} is an apocalyptic number.

6132582973440 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 6132582973440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13856753151360).

6132582973440 is an abundant number, since it is smaller than the sum of its proper divisors (21580923329280).

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

6132582973440 is an equidigital number, since it uses as much as digits as its factorization.

6132582973440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 716 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 6132582973440 in words is "six trillion, one hundred thirty-two billion, five hundred eighty-two million, nine hundred seventy-three thousand, four hundred forty".