7642822656 has 384 divisors, whose sum is σ = 25159680000. Its totient is φ = 2014543872.

The previous prime is 7642822573. The next prime is 7642822679. The reversal of 7642822656 is 6562282467.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38406045 + ... + 38406243.

It is an arithmetic number, because the mean of its divisors is an integer number (65520000).

Almost surely, 2^7642822656 is an apocalyptic number.

7642822656 is a gapful number since it is divisible by the number (76) 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 7642822656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12579840000).

7642822656 is an abundant number, since it is smaller than the sum of its proper divisors (17516857344).

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

7642822656 is a wasteful number, since it uses less digits than its factorization.

7642822656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 277 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 48.

The square root of 7642822656 is about 87423.2386496863. The cubic root of 7642822656 is about 1969.7809247310.

The spelling of 7642822656 in words is "seven billion, six hundred forty-two million, eight hundred twenty-two thousand, six hundred fifty-six".