7652801856 has 224 divisors, whose sum is σ = 24185806848. Its totient is φ = 2089543680.

The previous prime is 7652801843. The next prime is 7652801861. The reversal of 7652801856 is 6581082567.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3457006 + ... + 3459218.

It is an arithmetic number, because the mean of its divisors is an integer number (107972352).

Almost surely, 2^7652801856 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 7652801856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12092903424).

7652801856 is an abundant number, since it is smaller than the sum of its proper divisors (16533004992).

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

7652801856 is a wasteful number, since it uses less digits than its factorization.

7652801856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2339 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 48.

The square root of 7652801856 is about 87480.2941010145. The cubic root of 7652801856 is about 1970.6378633084.

The spelling of 7652801856 in words is "seven billion, six hundred fifty-two million, eight hundred one thousand, eight hundred fifty-six".