7164374400 has 384 divisors, whose sum is σ = 26511472800. Its totient is φ = 1889280000.

The previous prime is 7164374377. The next prime is 7164374401. The reversal of 7164374400 is 44734617.

It is a happy number.

7164374400 is a `hidden beast` number, since 7 + 1 + 643 + 7 + 4 + 4 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7164374401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8725990 + ... + 8726810.

Almost surely, 2^7164374400 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 7164374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13255736400).

7164374400 is an abundant number, since it is smaller than the sum of its proper divisors (19347098400).

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

7164374400 is a wasteful number, since it uses less digits than its factorization.

7164374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 955 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 7164374400 is about 84642.6275584590. The cubic root of 7164374400 is about 1927.7886742316.

The spelling of 7164374400 in words is "seven billion, one hundred sixty-four million, three hundred seventy-four thousand, four hundred".