7626608640 has 624 divisors, whose sum is σ = 31648451328. Its totient is φ = 1660944384.

The previous prime is 7626608621. The next prime is 7626608641. The reversal of 7626608640 is 468066267.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7626608641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29675392 + ... + 29675648.

It is an arithmetic number, because the mean of its divisors is an integer number (50718672).

Almost surely, 2^7626608640 is an apocalyptic number.

7626608640 is a gapful number since it is divisible by the number (70) 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 7626608640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15824225664).

7626608640 is an abundant number, since it is smaller than the sum of its proper divisors (24021842688).

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

7626608640 is a wasteful number, since it uses less digits than its factorization.

7626608640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 7626608640 is about 87330.4565429496. The cubic root of 7626608640 is about 1968.3869950826.

The spelling of 7626608640 in words is "seven billion, six hundred twenty-six million, six hundred eight thousand, six hundred forty".