7919353973664 has 1152 divisors, whose sum is σ = 29069601200640. Its totient is φ = 2069454127104.

The previous prime is 7919353973639. The next prime is 7919353973669. The reversal of 7919353973664 is 4663793539197.

7919353973664 is a `hidden beast` number, since 7 + 9 + 19 + 3 + 539 + 73 + 6 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 7919353973592 and 7919353973601.

It is not an unprimeable number, because it can be changed into a prime (7919353973669) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5541884502 + ... + 5541885930.

It is an arithmetic number, because the mean of its divisors is an integer number (25234028820).

Almost surely, 2^{7919353973664} 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 7919353973664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14534800600320).

7919353973664 is an abundant number, since it is smaller than the sum of its proper divisors (21150247226976).

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

7919353973664 is a wasteful number, since it uses less digits than its factorization.

7919353973664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1644 (or 1624 counting only the distinct ones).

The product of its digits is 694416240, while the sum is 72.

The spelling of 7919353973664 in words is "seven trillion, nine hundred nineteen billion, three hundred fifty-three million, nine hundred seventy-three thousand, six hundred sixty-four".