6961632948 has 18 divisors (see below), whose sum is σ = 17597461154. Its totient is φ = 2320544304.

The previous prime is 6961632929. The next prime is 6961632971. The reversal of 6961632948 is 8492361696.

It can be written as a sum of positive squares in only one way, i.e., 5234233104 + 1727399844 = 72348^2 + 41562^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 6961632894 and 6961632903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 96689311 + ... + 96689382.

Almost surely, 2^6961632948 is an apocalyptic number.

It is an amenable number.

6961632948 is an abundant number, since it is smaller than the sum of its proper divisors (10635828206).

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

6961632948 is a wasteful number, since it uses less digits than its factorization.

6961632948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193378703 (or 193378698 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 6961632948 is about 83436.4006174763. The cubic root of 6961632948 is about 1909.4298480045.

The spelling of 6961632948 in words is "six billion, nine hundred sixty-one million, six hundred thirty-two thousand, nine hundred forty-eight".