83691740160 has 880 divisors, whose sum is σ = 346967875584. Its totient is φ = 18895306752.

The previous prime is 83691740149. The next prime is 83691740179. The reversal of 83691740160 is 6104719638.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 368685967 + ... + 368686193.

Almost surely, 2^83691740160 is an apocalyptic number.

83691740160 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 83691740160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173483937792).

83691740160 is an abundant number, since it is smaller than the sum of its proper divisors (263276135424).

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

83691740160 is a wasteful number, since it uses less digits than its factorization.

83691740160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 83691740160 in words is "eighty-three billion, six hundred ninety-one million, seven hundred forty thousand, one hundred sixty".