7632579144960 has 2016 divisors, whose sum is σ = 35979962296320. Its totient is φ = 1502248550400.

The previous prime is 7632579144959. The next prime is 7632579144989. The reversal of 7632579144960 is 694419752367.

7632579144960 is a `hidden beast` number, since 7 + 6 + 3 + 2 + 57 + 91 + 4 + 496 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a super-3 number, since 3×7632579144960³ (a number of 40 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1365151765 + ... + 1365157355.

It is an arithmetic number, because the mean of its divisors is an integer number (17847203520).

Almost surely, 2^{7632579144960} is an apocalyptic number.

7632579144960 is a gapful number since it is divisible by the number (70) 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 7632579144960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17989981148160).

7632579144960 is an abundant number, since it is smaller than the sum of its proper divisors (28347383151360).

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

7632579144960 is a wasteful number, since it uses less digits than its factorization.

7632579144960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5667 (or 5638 counting only the distinct ones).

The product of its (nonzero) digits is 68584320, while the sum is 63.

The spelling of 7632579144960 in words is "seven trillion, six hundred thirty-two billion, five hundred seventy-nine million, one hundred forty-four thousand, nine hundred sixty".