7386455664 has 320 divisors, whose sum is σ = 26149754880. Its totient is φ = 1948078080.

The previous prime is 7386455633. The next prime is 7386455693. The reversal of 7386455664 is 4665546837.

7386455664 is a `hidden beast` number, since 7 + 3 + 86 + 4 + 556 + 6 + 4 = 666.

It is a super-3 number, since 3×7386455664³ (a number of 31 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 7386455664.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2723269 + ... + 2725979.

It is an arithmetic number, because the mean of its divisors is an integer number (81717984).

Almost surely, 2^7386455664 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 7386455664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13074877440).

7386455664 is an abundant number, since it is smaller than the sum of its proper divisors (18763299216).

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

7386455664 is a wasteful number, since it uses less digits than its factorization.

7386455664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2805 (or 2793 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 7386455664 is about 85944.4917606707. The cubic root of 7386455664 is about 1947.5055251768.

The spelling of 7386455664 in words is "seven billion, three hundred eighty-six million, four hundred fifty-five thousand, six hundred sixty-four".