978093342720 has 640 divisors, whose sum is σ = 3748697568000. Its totient is φ = 240534945792.

The previous prime is 978093342643. The next prime is 978093342727. The reversal of 978093342720 is 27243390879.

978093342720 is a `hidden beast` number, since 97 + 80 + 9 + 33 + 427 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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 (978093342727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 920124909 + ... + 920125971.

It is an arithmetic number, because the mean of its divisors is an integer number (5857339950).

Almost surely, 2^978093342720 is an apocalyptic number.

978093342720 is a gapful number since it is divisible by the number (90) 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 978093342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874348784000).

978093342720 is an abundant number, since it is smaller than the sum of its proper divisors (2770604225280).

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

978093342720 is an equidigital number, since it uses as much as digits as its factorization.

978093342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1128 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 978093342720 in words is "nine hundred seventy-eight billion, ninety-three million, three hundred forty-two thousand, seven hundred twenty".