7954490880 has 960 divisors, whose sum is σ = 34154385408. Its totient is φ = 1672151040.

The previous prime is 7954490839. The next prime is 7954490891. The reversal of 7954490880 is 880944597.

7954490880 is a `hidden beast` number, since 7 + 9 + 544 + 90 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a congruent number.

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, 184988139 + ... + 184988181.

Almost surely, 2^7954490880 is an apocalyptic number.

7954490880 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 7954490880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17077192704).

7954490880 is an abundant number, since it is smaller than the sum of its proper divisors (26199894528).

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

7954490880 is a wasteful number, since it uses less digits than its factorization.

7954490880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 7954490880 is about 89187.9525496577. The cubic root of 7954490880 is about 1996.2003592699.

The spelling of 7954490880 in words is "seven billion, nine hundred fifty-four million, four hundred ninety thousand, eight hundred eighty".