6340445185536 has 1600 divisors, whose sum is σ = 25644827197440. Its totient is φ = 1509414912000.

The previous prime is 6340445185471. The next prime is 6340445185577. The reversal of 6340445185536 is 6355815440436.

6340445185536 is a `hidden beast` number, since 6 + 3 + 4 + 0 + 44 + 518 + 55 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1880877931 + ... + 1880881301.

Almost surely, 2^{6340445185536} is an apocalyptic number.

6340445185536 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 6340445185536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12822413598720).

6340445185536 is an abundant number, since it is smaller than the sum of its proper divisors (19304382011904).

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

6340445185536 is a wasteful number, since it uses less digits than its factorization.

6340445185536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469 (or 3444 counting only the distinct ones).

The product of its (nonzero) digits is 20736000, while the sum is 54.

The spelling of 6340445185536 in words is "six trillion, three hundred forty billion, four hundred forty-five million, one hundred eighty-five thousand, five hundred thirty-six".