7485710400 has 567 divisors, whose sum is σ = 31253217021. Its totient is φ = 1694407680.

The previous prime is 7485710363. The next prime is 7485710417. The reversal of 7485710400 is 40175847.

The square root of 7485710400 is 86520.

It is a perfect power (a square), and thus also a powerful number.

7485710400 is a `hidden beast` number, since 7 + 48 + 571 + 0 + 40 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2694855744 + 4790854656 = 51912^2 + 69216^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 72676749 + ... + 72676851.

Almost surely, 2^7485710400 is an apocalyptic number.

7485710400 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

7485710400 is the 86520-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7485710400

7485710400 is an abundant number, since it is smaller than the sum of its proper divisors (23767506621).

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

7485710400 is a wasteful number, since it uses less digits than its factorization.

7485710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The cubic root of 7485710400 is about 1956.1898770595.

Multiplying 7485710400 by its sum of digits (36), we get a square (269485574400 = 519120²).

7485710400 divided by its sum of digits (36) gives a square (207936400 = 14420²).

The spelling of 7485710400 in words is "seven billion, four hundred eighty-five million, seven hundred ten thousand, four hundred".