6801953652 has 36 divisors (see below), whose sum is σ = 18516430660. Its totient is φ = 2092908672.

The previous prime is 6801953597. The next prime is 6801953663. The reversal of 6801953652 is 2563591086.

6801953652 is a `hidden beast` number, since 68 + 0 + 1 + 9 + 536 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2817061776 + 3984891876 = 53076^2 + 63126^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×6801953652² = 92533146967912274208, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6801953598 and 6801953607.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7266577 + ... + 7267512.

Almost surely, 2^6801953652 is an apocalyptic number.

It is an amenable number.

6801953652 is an abundant number, since it is smaller than the sum of its proper divisors (11714477008).

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

6801953652 is a wasteful number, since it uses less digits than its factorization.

6801953652 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14534112 (or 14534107 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The square root of 6801953652 is about 82473.9574168719. The cubic root of 6801953652 is about 1894.7178915566.

The spelling of 6801953652 in words is "six billion, eight hundred one million, nine hundred fifty-three thousand, six hundred fifty-two".