1642756356864 has 864 divisors, whose sum is σ = 5959244390400. Its totient is φ = 444420587520.

The previous prime is 1642756356823. The next prime is 1642756356877. The reversal of 1642756356864 is 4686536572461.

1642756356864 is a `hidden beast` number, since 1 + 6 + 4 + 2 + 7 + 5 + 6 + 3 + 568 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 493466752 + ... + 493470080.

It is an arithmetic number, because the mean of its divisors is an integer number (6897273600).

Almost surely, 2^{1642756356864} is an apocalyptic number.

1642756356864 is a gapful number since it is divisible by the number (14) 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 1642756356864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2979622195200).

1642756356864 is an abundant number, since it is smaller than the sum of its proper divisors (4316488033536).

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

1642756356864 is a wasteful number, since it uses less digits than its factorization.

1642756356864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3419 counting only the distinct ones).

The product of its digits is 174182400, while the sum is 63.

The spelling of 1642756356864 in words is "one trillion, six hundred forty-two billion, seven hundred fifty-six million, three hundred fifty-six thousand, eight hundred sixty-four".