7639920000 has 560 divisors, whose sum is σ = 28733286780. Its totient is φ = 2021760000.

The previous prime is 7639919977. The next prime is 7639920017. The reversal of 7639920000 is 299367.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 69 ways as a sum of consecutive naturals, for example, 58319935 + ... + 58320065.

Almost surely, 2^7639920000 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 7639920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366643390).

7639920000 is an abundant number, since it is smaller than the sum of its proper divisors (21093366780).

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

7639920000 is an frugal number, since it uses more digits than its factorization.

7639920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 36.

The square root of 7639920000 is about 87406.6359036887. The cubic root of 7639920000 is about 1969.5315264544.

The spelling of 7639920000 in words is "seven billion, six hundred thirty-nine million, nine hundred twenty thousand".