7639640000 has 280 divisors, whose sum is σ = 20072274816. Its totient is φ = 2880000000.

The previous prime is 7639639981. The next prime is 7639640033. The reversal of 7639640000 is 469367.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 75639950 + ... + 75640050.

Almost surely, 2^7639640000 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 7639640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10036137408).

7639640000 is an abundant number, since it is smaller than the sum of its proper divisors (12432634816).

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

7639640000 is a wasteful number, since it uses less digits than its factorization.

7639640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 35.

The square root of 7639640000 is about 87405.0341799601. The cubic root of 7639640000 is about 1969.5074653139.

The spelling of 7639640000 in words is "seven billion, six hundred thirty-nine million, six hundred forty thousand".