4960101672 has 48 divisors (see below), whose sum is σ = 13687083540. Its totient is φ = 1622170368.

The previous prime is 4960101667. The next prime is 4960101689. The reversal of 4960101672 is 2761010694.

4960101672 is a `hidden beast` number, since 49 + 601 + 0 + 1 + 6 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4669535556 + 290566116 = 68334^2 + 17046^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 646093 + ... + 653724.

Almost surely, 2^4960101672 is an apocalyptic number.

It is an amenable number.

4960101672 is an abundant number, since it is smaller than the sum of its proper divisors (8726981868).

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

4960101672 is a wasteful number, since it uses less digits than its factorization.

4960101672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299882 (or 1299875 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 4960101672 is about 70427.9892656322. The cubic root of 4960101672 is about 1705.4154492524.

The spelling of 4960101672 in words is "four billion, nine hundred sixty million, one hundred one thousand, six hundred seventy-two".