7639875072 has 640 divisors, whose sum is σ = 26516160000. Its totient is φ = 2155216896.

The previous prime is 7639875071. The next prime is 7639875083. The reversal of 7639875072 is 2705789367.

It is a super-2 number, since 2×7639875072² (a number of 21 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7639875071) 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, 129489379 + ... + 129489437.

It is an arithmetic number, because the mean of its divisors is an integer number (41431500).

Almost surely, 2^7639875072 is an apocalyptic number.

7639875072 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 7639875072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13258080000).

7639875072 is an abundant number, since it is smaller than the sum of its proper divisors (18876284928).

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

7639875072 is a wasteful number, since it uses less digits than its factorization.

7639875072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The square root of 7639875072 is about 87406.3788976525. The cubic root of 7639875072 is about 1969.5276657121.

The spelling of 7639875072 in words is "seven billion, six hundred thirty-nine million, eight hundred seventy-five thousand, seventy-two".