7215670400 has 384 divisors, whose sum is σ = 20216563200. Its totient is φ = 2530344960.

The previous prime is 7215670387. The next prime is 7215670421. The reversal of 7215670400 is 40765127.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91337561 + ... + 91337639.

It is an arithmetic number, because the mean of its divisors is an integer number (52647300).

Almost surely, 2^7215670400 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 7215670400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10108281600).

7215670400 is an abundant number, since it is smaller than the sum of its proper divisors (13000892800).

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

7215670400 is a wasteful number, since it uses less digits than its factorization.

7215670400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 32.

The square root of 7215670400 is about 84945.1022719968. The cubic root of 7215670400 is about 1932.3786434573.

The spelling of 7215670400 in words is "seven billion, two hundred fifteen million, six hundred seventy thousand, four hundred".