7949476080 has 1200 divisors, whose sum is σ = 36770842944. Its totient is φ = 1552711680.

The previous prime is 7949476079. The next prime is 7949476133. The reversal of 7949476080 is 806749497.

It is a happy number.

7949476080 is a `hidden beast` number, since 7 + 9 + 494 + 76 + 0 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 130319250 + ... + 130319310.

Almost surely, 2^7949476080 is an apocalyptic number.

7949476080 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 7949476080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18385421472).

7949476080 is an abundant number, since it is smaller than the sum of its proper divisors (28821366864).

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

7949476080 is a wasteful number, since it uses less digits than its factorization.

7949476080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 7949476080 is about 89159.8344547588. The cubic root of 7949476080 is about 1995.7807786782.

The spelling of 7949476080 in words is "seven billion, nine hundred forty-nine million, four hundred seventy-six thousand, eighty".