7025356800 has 1170 divisors, whose sum is σ = 32690805224. Its totient is φ = 1459814400.

The previous prime is 7025356771. The next prime is 7025356817. The reversal of 7025356800 is 86535207.

7025356800 is a `hidden beast` number, since 70 + 25 + 3 + 568 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 638668795 + ... + 638668805.

Almost surely, 2^7025356800 is an apocalyptic number.

7025356800 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 7025356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16345402612).

7025356800 is an abundant number, since it is smaller than the sum of its proper divisors (25665448424).

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

7025356800 is a wasteful number, since it uses less digits than its factorization.

7025356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 7025356800 is about 83817.4015345262. The cubic root of 7025356800 is about 1915.2382000031.

The spelling of 7025356800 in words is "seven billion, twenty-five million, three hundred fifty-six thousand, eight hundred".