7860720453120 has 1080 divisors, whose sum is σ = 29270840041872. Its totient is φ = 2024407572480.

The previous prime is 7860720453119. The next prime is 7860720453191. The reversal of 7860720453120 is 213540270687.

7860720453120 is a `hidden beast` number, since 7 + 8 + 6 + 0 + 72 + 0 + 453 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1080).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 16141109517 + ... + 16141110003.

Almost surely, 2^{7860720453120} 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 7860720453120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635420020936).

7860720453120 is an abundant number, since it is smaller than the sum of its proper divisors (21410119588752).

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

7860720453120 is an frugal number, since it uses more digits than its factorization.

7860720453120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 7860720453120 in words is "seven trillion, eight hundred sixty billion, seven hundred twenty million, four hundred fifty-three thousand, one hundred twenty".