7482227558400 has 864 divisors, whose sum is σ = 31970945916000. Its totient is φ = 1710207959040.

The previous prime is 7482227558383. The next prime is 7482227558401. The reversal of 7482227558400 is 48557222847.

It is a happy number.

7482227558400 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 227 + 5 + 5 + 8 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7482227558401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 67682371 + ... + 67792829.

It is an arithmetic number, because the mean of its divisors is an integer number (37003409625).

Almost surely, 2^{7482227558400} is an apocalyptic number.

7482227558400 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 7482227558400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15985472958000).

7482227558400 is an abundant number, since it is smaller than the sum of its proper divisors (24488718357600).

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

7482227558400 is a wasteful number, since it uses less digits than its factorization.

7482227558400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110514 (or 110476 counting only the distinct ones).

The product of its (nonzero) digits is 10035200, while the sum is 54.

The spelling of 7482227558400 in words is "seven trillion, four hundred eighty-two billion, two hundred twenty-seven million, five hundred fifty-eight thousand, four hundred".