83537476632576 has 180 divisors, whose sum is σ = 241437381003000. Its totient is φ = 27832641650688.

The previous prime is 83537476632541. The next prime is 83537476632593. The reversal of 83537476632576 is 67523667473538.

83537476632576 is a `hidden beast` number, since 8 + 3 + 5 + 3 + 7 + 47 + 6 + 6 + 3 + 2 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 313800775 + ... + 314066873.

It is an arithmetic number, because the mean of its divisors is an integer number (1341318783350).

Almost surely, 2^{83537476632576} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83537476632576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120718690501500).

83537476632576 is an abundant number, since it is smaller than the sum of its proper divisors (157899904370424).

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

83537476632576 is a wasteful number, since it uses less digits than its factorization.

83537476632576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 268262 (or 268233 counting only the distinct ones).

The product of its digits is 3200601600, while the sum is 72.

The spelling of 83537476632576 in words is "eighty-three trillion, five hundred thirty-seven billion, four hundred seventy-six million, six hundred thirty-two thousand, five hundred seventy-six".