6410993250816 has 1440 divisors, whose sum is σ = 25686232475904. Its totient is φ = 1498742784000.

The previous prime is 6410993250803. The next prime is 6410993250829. The reversal of 6410993250816 is 6180523990146.

6410993250816 is a `hidden beast` number, since 6 + 4 + 1 + 0 + 99 + 32 + 508 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (6410993250803) and next prime (6410993250829).

It is a super-2 number, since 2×6410993250816² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1526061516 + ... + 1526065716.

Almost surely, 2^{6410993250816} is an apocalyptic number.

6410993250816 is a gapful number since it is divisible by the number (66) 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 6410993250816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12843116237952).

6410993250816 is an abundant number, since it is smaller than the sum of its proper divisors (19275239225088).

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

6410993250816 is a wasteful number, since it uses less digits than its factorization.

6410993250816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4294 (or 4264 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 6410993250816 in words is "six trillion, four hundred ten billion, nine hundred ninety-three million, two hundred fifty thousand, eight hundred sixteen".