7921670400 has 1080 divisors, whose sum is σ = 34961720640. Its totient is φ = 1731870720.

The previous prime is 7921670371. The next prime is 7921670401. The reversal of 7921670400 is 40761297.

It is a happy number.

7921670400 is a `hidden beast` number, since 7 + 92 + 167 + 0 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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 (7921670401) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 134265571 + ... + 134265629.

Almost surely, 2^7921670400 is an apocalyptic number.

7921670400 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 7921670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17480860320).

7921670400 is an abundant number, since it is smaller than the sum of its proper divisors (27040050240).

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

7921670400 is a wasteful number, since it uses less digits than its factorization.

7921670400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 7921670400 is about 89003.7662124474. The cubic root of 7921670400 is about 1993.4511127771.

The spelling of 7921670400 in words is "seven billion, nine hundred twenty-one million, six hundred seventy thousand, four hundred".