8414796672 has 64 divisors (see below), whose sum is σ = 24835347600. Its totient is φ = 2804931072.

The previous prime is 8414796661. The next prime is 8414796679. The reversal of 8414796672 is 2766974148.

8414796672 is a `hidden beast` number, since 8 + 41 + 479 + 66 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8414796672² (a number of 21 digits) contains 22 as substring.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8414796679) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1213963 + ... + 1220874.

Almost surely, 2^8414796672 is an apocalyptic number.

It is an amenable number.

8414796672 is an abundant number, since it is smaller than the sum of its proper divisors (16420550928).

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

8414796672 is a wasteful number, since it uses less digits than its factorization.

8414796672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2434860 (or 2434842 counting only the distinct ones).

The product of its digits is 4064256, while the sum is 54.

The square root of 8414796672 is about 91732.2008457227. The cubic root of 8414796672 is about 2033.9856074024.

The spelling of 8414796672 in words is "eight billion, four hundred fourteen million, seven hundred ninety-six thousand, six hundred seventy-two".