7919767103040 has 896 divisors, whose sum is σ = 31952732152320. Its totient is φ = 1829365088256.

The previous prime is 7919767103033. The next prime is 7919767103077. The reversal of 7919767103040 is 403017679197.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 662569704 + ... + 662581656.

It is an arithmetic number, because the mean of its divisors is an integer number (35661531420).

Almost surely, 2^{7919767103040} 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 7919767103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15976366076160).

7919767103040 is an abundant number, since it is smaller than the sum of its proper divisors (24032965049280).

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

7919767103040 is a wasteful number, since it uses less digits than its factorization.

7919767103040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12356 (or 12340 counting only the distinct ones).

The product of its (nonzero) digits is 2000376, while the sum is 54.

The spelling of 7919767103040 in words is "seven trillion, nine hundred nineteen billion, seven hundred sixty-seven million, one hundred three thousand, forty".