7629092640 has 864 divisors, whose sum is σ = 31078494720. Its totient is φ = 1697439744.

The previous prime is 7629092633. The next prime is 7629092659. The reversal of 7629092640 is 462909267.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 162321097 + ... + 162321143.

It is an arithmetic number, because the mean of its divisors is an integer number (35970480).

Almost surely, 2^7629092640 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 7629092640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15539247360).

7629092640 is an abundant number, since it is smaller than the sum of its proper divisors (23449402080).

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

7629092640 is a wasteful number, since it uses less digits than its factorization.

7629092640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 7629092640 is about 87344.6772276365. The cubic root of 7629092640 is about 1968.6006742676.

The spelling of 7629092640 in words is "seven billion, six hundred twenty-nine million, ninety-two thousand, six hundred forty".