7962784979968 has 352 divisors, whose sum is σ = 20451007246208. Its totient is φ = 3014649446400.

The previous prime is 7962784979959. The next prime is 7962784979983. The reversal of 7962784979968 is 8699794872697.

It is a super-2 number, since 2×7962784979968² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (91).

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 31 ways as a sum of consecutive naturals, for example, 210297358 + ... + 210335218.

It is an arithmetic number, because the mean of its divisors is an integer number (58099452404).

Almost surely, 2^{7962784979968} 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 7962784979968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10225503623104).

7962784979968 is an abundant number, since it is smaller than the sum of its proper divisors (12488222266240).

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

7962784979968 is a wasteful number, since it uses less digits than its factorization.

7962784979968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37999 (or 37981 counting only the distinct ones).

The product of its digits is 41479796736, while the sum is 91.

The spelling of 7962784979968 in words is "seven trillion, nine hundred sixty-two billion, seven hundred eighty-four million, nine hundred seventy-nine thousand, nine hundred sixty-eight".