1646777671968 has 192 divisors, whose sum is σ = 5299330563072. Its totient is φ = 440609326080.

The previous prime is 1646777671967. The next prime is 1646777672047. The reversal of 1646777671968 is 8691767776461.

It is a super-3 number, since 3×1646777671968³ (a number of 38 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1646777671968.

It is not an unprimeable number, because it can be changed into a prime (1646777671967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292030 + ... + 2923517.

It is an arithmetic number, because the mean of its divisors is an integer number (27600680016).

Almost surely, 2^{1646777671968} is an apocalyptic number.

It is an amenable number.

1646777671968 is an abundant number, since it is smaller than the sum of its proper divisors (3652552891104).

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

1646777671968 is a wasteful number, since it uses less digits than its factorization.

1646777671968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5215607 (or 5215599 counting only the distinct ones).

The product of its digits is 896168448, while the sum is 75.

The spelling of 1646777671968 in words is "one trillion, six hundred forty-six billion, seven hundred seventy-seven million, six hundred seventy-one thousand, nine hundred sixty-eight".