7521011680 has 384 divisors, whose sum is σ = 23789445120. Its totient is φ = 2179768320.

The previous prime is 7521011677. The next prime is 7521011689. The reversal of 7521011680 is 861101257.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7521011689) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8575402 + ... + 8576278.

It is an arithmetic number, because the mean of its divisors is an integer number (61951680).

Almost surely, 2^7521011680 is an apocalyptic number.

7521011680 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 7521011680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894722560).

7521011680 is an abundant number, since it is smaller than the sum of its proper divisors (16268433440).

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

7521011680 is a wasteful number, since it uses less digits than its factorization.

7521011680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 962 (or 954 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 31.

The square root of 7521011680 is about 86723.7665233701. The cubic root of 7521011680 is about 1959.2600705549.

The spelling of 7521011680 in words is "seven billion, five hundred twenty-one million, eleven thousand, six hundred eighty".