7516561920 has 320 divisors, whose sum is σ = 28661022720. Its totient is φ = 1643102208.

The previous prime is 7516561907. The next prime is 7516561957. The reversal of 7516561920 is 291656157.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1233441 + ... + 1239519.

It is an arithmetic number, because the mean of its divisors is an integer number (89565696).

Almost surely, 2^7516561920 is an apocalyptic number.

7516561920 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 7516561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14330511360).

7516561920 is an abundant number, since it is smaller than the sum of its proper divisors (21144460800).

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

7516561920 is a wasteful number, since it uses less digits than its factorization.

7516561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6135 (or 6119 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 42.

The square root of 7516561920 is about 86698.1079378322. The cubic root of 7516561920 is about 1958.8735996300.

The spelling of 7516561920 in words is "seven billion, five hundred sixteen million, five hundred sixty-one thousand, nine hundred twenty".