8370890057040 has 320 divisors, whose sum is σ = 30273205248000. Its totient is φ = 1912644819456.

The previous prime is 8370890057039. The next prime is 8370890057063. The reversal of 8370890057040 is 407500980738.

It is a super-2 number, since 2×8370890057040² (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 63 ways as a sum of consecutive naturals, for example, 243897001 + ... + 243931319.

It is an arithmetic number, because the mean of its divisors is an integer number (94603766400).

Almost surely, 2^{8370890057040} is an apocalyptic number.

8370890057040 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 8370890057040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15136602624000).

8370890057040 is an abundant number, since it is smaller than the sum of its proper divisors (21902315190960).

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

8370890057040 is a wasteful number, since it uses less digits than its factorization.

8370890057040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37319 (or 37299 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 51.

The spelling of 8370890057040 in words is "eight trillion, three hundred seventy billion, eight hundred ninety million, fifty-seven thousand, forty".