7482056400 has 960 divisors, whose sum is σ = 34304471040. Its totient is φ = 1505433600.

The previous prime is 7482056359. The next prime is 7482056401. The reversal of 7482056400 is 46502847.

7482056400 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 0 + 5 + 640 + 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 not an unprimeable number, because it can be changed into a prime (7482056401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22604235 + ... + 22604565.

It is an arithmetic number, because the mean of its divisors is an integer number (35733824).

Almost surely, 2^7482056400 is an apocalyptic number.

7482056400 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 7482056400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17152235520).

7482056400 is an abundant number, since it is smaller than the sum of its proper divisors (26822414640).

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

7482056400 is a wasteful number, since it uses less digits than its factorization.

7482056400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The square root of 7482056400 is about 86498.8809176165. The cubic root of 7482056400 is about 1955.8715335854.

The spelling of 7482056400 in words is "seven billion, four hundred eighty-two million, fifty-six thousand, four hundred".