7978173840000 has 2560 divisors, whose sum is σ = 37226753625600. Its totient is φ = 1636319232000.

The previous prime is 7978173839983. The next prime is 7978173840001. The reversal of 7978173840000 is 483718797.

7978173840000 is a `hidden beast` number, since 7 + 97 + 81 + 73 + 8 + 400 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (7978173840001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 7272719452 + ... + 7272720548.

It is an arithmetic number, because the mean of its divisors is an integer number (14541700635).

Almost surely, 2^{7978173840000} is an apocalyptic number.

7978173840000 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 7978173840000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18613376812800).

7978173840000 is an abundant number, since it is smaller than the sum of its proper divisors (29248579785600).

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

7978173840000 is a wasteful number, since it uses less digits than its factorization.

7978173840000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1197 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 54.

The spelling of 7978173840000 in words is "seven trillion, nine hundred seventy-eight billion, one hundred seventy-three million, eight hundred forty thousand".