7580090496 has 384 divisors, whose sum is σ = 23793678720. Its totient is φ = 2131148800.

The previous prime is 7580090471. The next prime is 7580090503. The reversal of 7580090496 is 6940900857.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 43815466 + ... + 43815638.

It is an arithmetic number, because the mean of its divisors is an integer number (61962705).

Almost surely, 2^7580090496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7580090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11896839360).

7580090496 is an abundant number, since it is smaller than the sum of its proper divisors (16213588224).

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

7580090496 is a wasteful number, since it uses less digits than its factorization.

7580090496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 7580090496 is about 87063.7151516061. The cubic root of 7580090496 is about 1964.3768024198.

The spelling of 7580090496 in words is "seven billion, five hundred eighty million, ninety thousand, four hundred ninety-six".