7978642560000 has 2310 divisors, whose sum is σ = 34860365682450. Its totient is φ = 1818464256000.

The previous prime is 7978642559983. The next prime is 7978642560013. The reversal of 7978642560000 is 652468797.

7978642560000 is a `hidden beast` number, since 7 + 9 + 7 + 8 + 6 + 4 + 25 + 600 + 0 + 0 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 2213572644864 + 5765069915136 = 1487808^2 + 2401056^2 .

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 209 ways as a sum of consecutive naturals, for example, 22861439826 + ... + 22861440174.

It is an arithmetic number, because the mean of its divisors is an integer number (15091067395).

Almost surely, 2^{7978642560000} is an apocalyptic number.

7978642560000 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 7978642560000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430182841225).

7978642560000 is an abundant number, since it is smaller than the sum of its proper divisors (26881723122450).

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

7978642560000 is an frugal number, since it uses more digits than its factorization.

7978642560000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 7978642560000 in words is "seven trillion, nine hundred seventy-eight billion, six hundred forty-two million, five hundred sixty thousand".