7792297632 has 576 divisors, whose sum is σ = 28388828160. Its totient is φ = 2035321344.

The previous prime is 7792297573. The next prime is 7792297637. The reversal of 7792297632 is 2367922977.

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 not an unprimeable number, because it can be changed into a prime (7792297637) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 93883063 + ... + 93883145.

It is an arithmetic number, because the mean of its divisors is an integer number (49286160).

Almost surely, 2^7792297632 is an apocalyptic number.

7792297632 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 7792297632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14194414080).

7792297632 is an abundant number, since it is smaller than the sum of its proper divisors (20596530528).

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

7792297632 is a wasteful number, since it uses less digits than its factorization.

7792297632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 157 counting only the distinct ones).

The product of its digits is 4000752, while the sum is 54.

The square root of 7792297632 is about 88273.9918209208. The cubic root of 7792297632 is about 1982.5394780183.

The spelling of 7792297632 in words is "seven billion, seven hundred ninety-two million, two hundred ninety-seven thousand, six hundred thirty-two".