83677803625920 has 1344 divisors, whose sum is σ = 348640951403520. Its totient is φ = 16863308808192.

The previous prime is 83677803625919. The next prime is 83677803625921. The reversal of 83677803625920 is 2952630877638.

It is an interprime number because it is at equal distance from previous prime (83677803625919) and next prime (83677803625921).

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83677803625921) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 760534752 + ... + 760644768.

Almost surely, 2^{83677803625920} is an apocalyptic number.

83677803625920 is a gapful number since it is divisible by the number (80) 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 83677803625920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174320475701760).

83677803625920 is an abundant number, since it is smaller than the sum of its proper divisors (264963147777600).

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

83677803625920 is a wasteful number, since it uses less digits than its factorization.

83677803625920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110130 (or 110113 counting only the distinct ones).

The product of its (nonzero) digits is 182891520, while the sum is 66.

The spelling of 83677803625920 in words is "eighty-three trillion, six hundred seventy-seven billion, eight hundred three million, six hundred twenty-five thousand, nine hundred twenty".