101681684640 has 480 divisors, whose sum is σ = 364405257216. Its totient is φ = 26699673600.

The previous prime is 101681684557. The next prime is 101681684641. The reversal of 101681684640 is 46486186101.

101681684640 is a `hidden beast` number, since 10 + 16 + 8 + 168 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (101681684641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 436401964 + ... + 436402196.

Almost surely, 2^101681684640 is an apocalyptic number.

101681684640 is a gapful number since it is divisible by the number (10) 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 101681684640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182202628608).

101681684640 is an abundant number, since it is smaller than the sum of its proper divisors (262723572576).

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

101681684640 is a wasteful number, since it uses less digits than its factorization.

101681684640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 101681684640 in words is "one hundred one billion, six hundred eighty-one million, six hundred eighty-four thousand, six hundred forty".