7602640000 has 240 divisors, whose sum is σ = 19774896570. Its totient is φ = 2910208000.

The previous prime is 7602639991. The next prime is 7602640007. The reversal of 7602640000 is 462067.

It can be written as a sum of positive squares in 15 ways, for example, as 5231339584 + 2371300416 = 72328^2 + 48696^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7602640007) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 67279944 + ... + 67280056.

Almost surely, 2^7602640000 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 7602640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9887448285).

7602640000 is an abundant number, since it is smaller than the sum of its proper divisors (12172256570).

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

7602640000 is an equidigital number, since it uses as much as digits as its factorization.

7602640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 25.

The square root of 7602640000 is about 87193.1189945629. The cubic root of 7602640000 is about 1966.3227717504.

The spelling of 7602640000 in words is "seven billion, six hundred two million, six hundred forty thousand".