7643376972 has 192 divisors, whose sum is σ = 25374612480. Its totient is φ = 1931558400.

The previous prime is 7643376941. The next prime is 7643376973. The reversal of 7643376972 is 2796733467.

It is a happy number.

7643376972 is a `hidden beast` number, since 76 + 433 + 76 + 9 + 72 = 666.

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 (7643376973) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 295272 + ... + 320112.

It is an arithmetic number, because the mean of its divisors is an integer number (132159440).

Almost surely, 2^7643376972 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7643376972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12687306240).

7643376972 is an abundant number, since it is smaller than the sum of its proper divisors (17731235508).

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

7643376972 is a wasteful number, since it uses less digits than its factorization.

7643376972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24909 (or 24901 counting only the distinct ones).

The product of its digits is 8001504, while the sum is 54.

The square root of 7643376972 is about 87426.4088934230. The cubic root of 7643376972 is about 1969.8285447765.

The spelling of 7643376972 in words is "seven billion, six hundred forty-three million, three hundred seventy-six thousand, nine hundred seventy-two".