7972278710760 has 1408 divisors, whose sum is σ = 34284128256000. Its totient is φ = 1622791231488.

The previous prime is 7972278710657. The next prime is 7972278710861. The reversal of 7972278710760 is 670178722797.

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

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 351 ways as a sum of consecutive naturals, for example, 6233211801 + ... + 6233213079.

Almost surely, 2^{7972278710760} is an apocalyptic number.

7972278710760 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 7972278710760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17142064128000).

7972278710760 is an abundant number, since it is smaller than the sum of its proper divisors (26311849545240).

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

7972278710760 is a wasteful number, since it uses less digits than its factorization.

7972278710760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1369 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 29042496, while the sum is 63.

The spelling of 7972278710760 in words is "seven trillion, nine hundred seventy-two billion, two hundred seventy-eight million, seven hundred ten thousand, seven hundred sixty".