7125926400 has 720 divisors, whose sum is σ = 27704476800. Its totient is φ = 1811496960.

The previous prime is 7125926387. The next prime is 7125926407. The reversal of 7125926400 is 46295217.

7125926400 is a `hidden beast` number, since 7 + 1 + 2 + 5 + 9 + 2 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 (7125926407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 90201561 + ... + 90201639.

It is an arithmetic number, because the mean of its divisors is an integer number (38478440).

Almost surely, 2^7125926400 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 7125926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13852238400).

7125926400 is an abundant number, since it is smaller than the sum of its proper divisors (20578550400).

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

7125926400 is an equidigital number, since it uses as much as digits as its factorization.

7125926400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 7125926400 is about 84415.2024223125. The cubic root of 7125926400 is about 1924.3339597189. Note that the first 3 decimals are identical.

The spelling of 7125926400 in words is "seven billion, one hundred twenty-five million, nine hundred twenty-six thousand, four hundred".