4961658672 has 60 divisors (see below), whose sum is σ = 14246001640. Its totient is φ = 1653398208.

The previous prime is 4961658661. The next prime is 4961658683. The reversal of 4961658672 is 2768561694.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

4961658672 is a `hidden beast` number, since 49 + 6 + 16 + 586 + 7 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4961658661) and next prime (4961658683).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 1462354 + ... + 1465742.

Almost surely, 2^4961658672 is an apocalyptic number.

It is an amenable number.

4961658672 is an abundant number, since it is smaller than the sum of its proper divisors (9284342968).

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

4961658672 is an frugal number, since it uses more digits than its factorization.

4961658672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6795 (or 3394 counting only the distinct ones).

The product of its digits is 4354560, while the sum is 54.

The square root of 4961658672 is about 70439.0422422111. The cubic root of 4961658672 is about 1705.5938766475.

The spelling of 4961658672 in words is "four billion, nine hundred sixty-one million, six hundred fifty-eight thousand, six hundred seventy-two".