7970942156814 has 288 divisors, whose sum is σ = 22313208153600. Its totient is φ = 2088095158656.

The previous prime is 7970942156773. The next prime is 7970942156831. The reversal of 7970942156814 is 4186512490797.

7970942156814 is a `hidden beast` number, since 79 + 70 + 9 + 421 + 5 + 68 + 14 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 85619239 + ... + 85712285.

It is an arithmetic number, because the mean of its divisors is an integer number (77476417200).

Almost surely, 2^{7970942156814} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970942156814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11156604076800).

7970942156814 is an abundant number, since it is smaller than the sum of its proper divisors (14342265996786).

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

7970942156814 is a wasteful number, since it uses less digits than its factorization.

7970942156814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93246 (or 93221 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 7970942156814 in words is "seven trillion, nine hundred seventy billion, nine hundred forty-two million, one hundred fifty-six thousand, eight hundred fourteen".