8140760490720 has 2304 divisors, whose sum is σ = 34054401024000. Its totient is φ = 1615527936000.

The previous prime is 8140760490641. The next prime is 8140760490767. The reversal of 8140760490720 is 270940670418.

It is a super-2 number, since 2×8140760490720² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8140760490720.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 16314149031 + ... + 16314149529.

It is an arithmetic number, because the mean of its divisors is an integer number (14780556000).

Almost surely, 2^{8140760490720} is an apocalyptic number.

8140760490720 is a gapful number since it is divisible by the number (80) 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 8140760490720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17027200512000).

8140760490720 is an abundant number, since it is smaller than the sum of its proper divisors (25913640533280).

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

8140760490720 is a wasteful number, since it uses less digits than its factorization.

8140760490720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641 (or 622 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The spelling of 8140760490720 in words is "eight trillion, one hundred forty billion, seven hundred sixty million, four hundred ninety thousand, seven hundred twenty".