7970304597840 has 960 divisors, whose sum is σ = 29909872312320. Its totient is φ = 1889635184640.

The previous prime is 7970304597833. The next prime is 7970304597847. The reversal of 7970304597840 is 487954030797.

7970304597840 is a `hidden beast` number, since 7 + 9 + 7 + 0 + 30 + 4 + 597 + 8 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (7970304597833) and next prime (7970304597847).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7970304597847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 10785256191 + ... + 10785256929.

It is an arithmetic number, because the mean of its divisors is an integer number (31156116992).

Almost surely, 2^{7970304597840} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7970304597840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14954936156160).

7970304597840 is an abundant number, since it is smaller than the sum of its proper divisors (21939567714480).

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

7970304597840 is a wasteful number, since it uses less digits than its factorization.

7970304597840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1152 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 7970304597840 in words is "seven trillion, nine hundred seventy billion, three hundred four million, five hundred ninety-seven thousand, eight hundred forty".