2646341006400 has 2016 divisors, whose sum is σ = 12281278114560. Its totient is φ = 524816547840.

The previous prime is 2646341006383. The next prime is 2646341006447. The reversal of 2646341006400 is 46001436462.

2646341006400 is a `hidden beast` number, since 2 + 6 + 4 + 6 + 3 + 4 + 1 + 0 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3908922862 + ... + 3908923538.

Almost surely, 2^{2646341006400} is an apocalyptic number.

2646341006400 is a gapful number since it is divisible by the number (20) 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 2646341006400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6140639057280).

2646341006400 is an abundant number, since it is smaller than the sum of its proper divisors (9634937108160).

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

2646341006400 is a wasteful number, since it uses less digits than its factorization.

2646341006400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 2646341006400 in words is "two trillion, six hundred forty-six billion, three hundred forty-one million, six thousand, four hundred".