83630361600 has 660 divisors, whose sum is σ = 319908566208. Its totient is φ = 21565440000.

The previous prime is 83630361599. The next prime is 83630361613. The reversal of 83630361600 is 616303638.

83630361600 is a `hidden beast` number, since 8 + 3 + 6 + 30 + 3 + 616 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64280950 + ... + 64282250.

Almost surely, 2^83630361600 is an apocalyptic number.

83630361600 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 83630361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159954283104).

83630361600 is an abundant number, since it is smaller than the sum of its proper divisors (236278204608).

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

83630361600 is a wasteful number, since it uses less digits than its factorization.

83630361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 1342 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 83630361600 in words is "eighty-three billion, six hundred thirty million, three hundred sixty-one thousand, six hundred".