7813572480 has 192 divisors, whose sum is σ = 30835864800. Its totient is φ = 1785950208.

The previous prime is 7813572479. The next prime is 7813572491. The reversal of 7813572480 is 842753187.

7813572480 is a `hidden beast` number, since 78 + 1 + 3 + 572 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×7813572480² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56575 + ... + 137214.

Almost surely, 2^7813572480 is an apocalyptic number.

7813572480 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

7813572480 is an abundant number, since it is smaller than the sum of its proper divisors (23022292320).

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

7813572480 is a wasteful number, since it uses less digits than its factorization.

7813572480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193821 (or 193806 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The square root of 7813572480 is about 88394.4143031674. The cubic root of 7813572480 is about 1984.3421084527.

The spelling of 7813572480 in words is "seven billion, eight hundred thirteen million, five hundred seventy-two thousand, four hundred eighty".