8416651464 has 320 divisors, whose sum is σ = 27732297600. Its totient is φ = 2346765696.

The previous prime is 8416651459. The next prime is 8416651493. The reversal of 8416651464 is 4641566148.

8416651464 is a `hidden beast` number, since 84 + 1 + 66 + 51 + 464 = 666.

Its product of digits (552960) is a multiple of the sum of its prime divisors (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 365941357 + ... + 365941379.

It is an arithmetic number, because the mean of its divisors is an integer number (86663430).

Almost surely, 2^8416651464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8416651464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13866148800).

8416651464 is an abundant number, since it is smaller than the sum of its proper divisors (19315646136).

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

8416651464 is a wasteful number, since it uses less digits than its factorization.

8416651464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 60 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 8416651464 is about 91742.3101082592. The cubic root of 8416651464 is about 2034.1350403290.

The spelling of 8416651464 in words is "eight billion, four hundred sixteen million, six hundred fifty-one thousand, four hundred sixty-four".