7242630595200 has 4608 divisors, whose sum is σ = 37530197913600. Its totient is φ = 1324781568000.

The previous prime is 7242630595163. The next prime is 7242630595237. The reversal of 7242630595200 is 25950362427.

7242630595200 is a `hidden beast` number, since 7 + 2 + 4 + 2 + 6 + 30 + 595 + 20 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7242630595163) and next prime (7242630595237).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 21881059035 + ... + 21881059365.

It is an arithmetic number, because the mean of its divisors is an integer number (8144574200).

Almost surely, 2^{7242630595200} is an apocalyptic number.

7242630595200 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 7242630595200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18765098956800).

7242630595200 is an abundant number, since it is smaller than the sum of its proper divisors (30287567318400).

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

7242630595200 is a wasteful number, since it uses less digits than its factorization.

7242630595200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 429 (or 395 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 7242630595200 in words is "seven trillion, two hundred forty-two billion, six hundred thirty million, five hundred ninety-five thousand, two hundred".