7942452510720 has 2048 divisors, whose sum is σ = 33027526103040. Its totient is φ = 1585446912000.

The previous prime is 7942452510709. The next prime is 7942452510721. The reversal of 7942452510720 is 270152542497.

It is a tau number, because it is divible by the number of its divisors (2048).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7942452510720.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7942452510721) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 111865528285 + ... + 111865528355.

It is an arithmetic number, because the mean of its divisors is an integer number (16126721730).

Almost surely, 2^{7942452510720} is an apocalyptic number.

7942452510720 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 7942452510720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16513763051520).

7942452510720 is an abundant number, since it is smaller than the sum of its proper divisors (25085073592320).

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

7942452510720 is a wasteful number, since it uses less digits than its factorization.

7942452510720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 7942452510720 in words is "seven trillion, nine hundred forty-two billion, four hundred fifty-two million, five hundred ten thousand, seven hundred twenty".