7840539970816 has 288 divisors, whose sum is σ = 18953684305920. Its totient is φ = 3162140467200.

The previous prime is 7840539970787. The next prime is 7840539970831. The reversal of 7840539970816 is 6180799350487.

It is a super-2 number, since 2×7840539970816² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3504934050 + ... + 3504936286.

It is an arithmetic number, because the mean of its divisors is an integer number (65811403840).

Almost surely, 2^{7840539970816} is an apocalyptic number.

7840539970816 is a gapful number since it is divisible by the number (76) 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 7840539970816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9476842152960).

7840539970816 is an abundant number, since it is smaller than the sum of its proper divisors (11113144335104).

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

7840539970816 is a wasteful number, since it uses less digits than its factorization.

7840539970816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2921 (or 2907 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 67.

The spelling of 7840539970816 in words is "seven trillion, eight hundred forty billion, five hundred thirty-nine million, nine hundred seventy thousand, eight hundred sixteen".