7064164800 has 1008 divisors, whose sum is σ = 32782044672. Its totient is φ = 1398988800.

The previous prime is 7064164769. The next prime is 7064164817. The reversal of 7064164800 is 84614607.

7064164800 is a `hidden beast` number, since 7 + 0 + 6 + 4 + 1 + 648 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 25502262 + ... + 25502538.

Almost surely, 2^7064164800 is an apocalyptic number.

7064164800 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7064164800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16391022336).

7064164800 is an abundant number, since it is smaller than the sum of its proper divisors (25717879872).

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

7064164800 is a wasteful number, since it uses less digits than its factorization.

7064164800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 7064164800 is about 84048.5859488427. The cubic root of 7064164800 is about 1918.7583117410.

It can be divided in two parts, 7064164 and 800, that added together give a square (7064964 = 2658²).

The spelling of 7064164800 in words is "seven billion, sixty-four million, one hundred sixty-four thousand, eight hundred".