7378968935520 has 2880 divisors, whose sum is σ = 34487300897280. Its totient is φ = 1450543251456.

The previous prime is 7378968935489. The next prime is 7378968935549. The reversal of 7378968935520 is 255398698737.

It is a happy number.

7378968935520 is a `hidden beast` number, since 7 + 3 + 7 + 8 + 9 + 6 + 8 + 93 + 5 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 21265039987 + ... + 21265040333.

It is an arithmetic number, because the mean of its divisors is an integer number (11974757256).

Almost surely, 2^{7378968935520} is an apocalyptic number.

7378968935520 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 7378968935520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17243650448640).

7378968935520 is an abundant number, since it is smaller than the sum of its proper divisors (27108331961760).

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

7378968935520 is a wasteful number, since it uses less digits than its factorization.

7378968935520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 469 counting only the distinct ones).

The product of its (nonzero) digits is 685843200, while the sum is 72.

The spelling of 7378968935520 in words is "seven trillion, three hundred seventy-eight billion, nine hundred sixty-eight million, nine hundred thirty-five thousand, five hundred twenty".