7873970292720 has 960 divisors, whose sum is σ = 32371434345600. Its totient is φ = 1753018122240.

The previous prime is 7873970292709. The next prime is 7873970292743. The reversal of 7873970292720 is 272920793787.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3805687846 + ... + 3805689914.

It is an arithmetic number, because the mean of its divisors is an integer number (33720244110).

Almost surely, 2^{7873970292720} is an apocalyptic number.

7873970292720 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 7873970292720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16185717172800).

7873970292720 is an abundant number, since it is smaller than the sum of its proper divisors (24497464052880).

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

7873970292720 is a wasteful number, since it uses less digits than its factorization.

7873970292720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3004 counting only the distinct ones).

The product of its (nonzero) digits is 37340352, while the sum is 63.

The spelling of 7873970292720 in words is "seven trillion, eight hundred seventy-three billion, nine hundred seventy million, two hundred ninety-two thousand, seven hundred twenty".