7632317521920 has 1344 divisors, whose sum is σ = 30791859509376. Its totient is φ = 1599980175360.

The previous prime is 7632317521909. The next prime is 7632317521991. The reversal of 7632317521920 is 291257132367.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×7632317521920³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7632317521920.

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, 21995151187 + ... + 21995151533.

It is an arithmetic number, because the mean of its divisors is an integer number (22910609754).

Almost surely, 2^{7632317521920} is an apocalyptic number.

7632317521920 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 7632317521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15395929754688).

7632317521920 is an abundant number, since it is smaller than the sum of its proper divisors (23159541987456).

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

7632317521920 is a wasteful number, since it uses less digits than its factorization.

7632317521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 689 (or 658 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The spelling of 7632317521920 in words is "seven trillion, six hundred thirty-two billion, three hundred seventeen million, five hundred twenty-one thousand, nine hundred twenty".