6517690490400 has 288 divisors, whose sum is σ = 22536560692800. Its totient is φ = 1631467008000.

The previous prime is 6517690490383. The next prime is 6517690490417. The reversal of 6517690490400 is 40940967156.

It is an interprime number because it is at equal distance from previous prime (6517690490383) and next prime (6517690490417).

It is a super-3 number, since 3×6517690490400³ (a number of 39 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4314750 + ... + 5626050.

It is an arithmetic number, because the mean of its divisors is an integer number (78251946850).

Almost surely, 2^{6517690490400} is an apocalyptic number.

6517690490400 is a gapful number since it is divisible by the number (60) 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 6517690490400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11268280346400).

6517690490400 is an abundant number, since it is smaller than the sum of its proper divisors (16018870202400).

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

6517690490400 is a wasteful number, since it uses less digits than its factorization.

6517690490400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311452 (or 1311439 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 51.

The spelling of 6517690490400 in words is "six trillion, five hundred seventeen billion, six hundred ninety million, four hundred ninety thousand, four hundred".