7624880640 has 240 divisors, whose sum is σ = 28439539128. Its totient is φ = 1876819968.

The previous prime is 7624880639. The next prime is 7624880657. The reversal of 7624880640 is 460884267.

It can be written as a sum of positive squares in 4 ways, for example, as 2392383744 + 5232496896 = 48912^2 + 72336^2 .

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 286792 + ... + 312248.

Almost surely, 2^7624880640 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 7624880640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14219769564).

7624880640 is an abundant number, since it is smaller than the sum of its proper divisors (20814658488).

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

7624880640 is a wasteful number, since it uses less digits than its factorization.

7624880640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25499 (or 25480 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The square root of 7624880640 is about 87320.5625268184. The cubic root of 7624880640 is about 1968.2383213269.

The spelling of 7624880640 in words is "seven billion, six hundred twenty-four million, eight hundred eighty thousand, six hundred forty".