7929617472 has 840 divisors, whose sum is σ = 30271760640. Its totient is φ = 2037934080.

The previous prime is 7929617467. The next prime is 7929617533. The reversal of 7929617472 is 2747169297.

7929617472 is a `hidden beast` number, since 79 + 2 + 96 + 17 + 472 = 666.

It is a super-4 number, since 4×7929617472⁴ (a number of 41 digits) contains 4444 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 149615398 + ... + 149615450.

Almost surely, 2^7929617472 is an apocalyptic number.

7929617472 is a gapful number since it is divisible by the number (72) 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 7929617472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15135880320).

7929617472 is an abundant number, since it is smaller than the sum of its proper divisors (22342143168).

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

7929617472 is a wasteful number, since it uses less digits than its factorization.

7929617472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 115 counting only the distinct ones).

The product of its digits is 2667168, while the sum is 54.

The square root of 7929617472 is about 89048.3996038110. The cubic root of 7929617472 is about 1994.1175044192.

The spelling of 7929617472 in words is "seven billion, nine hundred twenty-nine million, six hundred seventeen thousand, four hundred seventy-two".