101670617664 has 672 divisors, whose sum is σ = 387132088320. Its totient is φ = 25393305600.

The previous prime is 101670617623. The next prime is 101670617747. The reversal of 101670617664 is 466716076101.

101670617664 is a `hidden beast` number, since 10 + 16 + 7 + 0 + 617 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 647583474 + ... + 647583630.

Almost surely, 2^101670617664 is an apocalyptic number.

101670617664 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 101670617664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193566044160).

101670617664 is an abundant number, since it is smaller than the sum of its proper divisors (285461470656).

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

101670617664 is a wasteful number, since it uses less digits than its factorization.

101670617664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384 (or 211 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 101670617664 in words is "one hundred one billion, six hundred seventy million, six hundred seventeen thousand, six hundred sixty-four".