36963086976 has 192 divisors, whose sum is σ = 107972865000. Its totient is φ = 12135923712.

The previous prime is 36963086959. The next prime is 36963086999. The reversal of 36963086976 is 67968036963.

It can be written as a sum of positive squares in 4 ways, for example, as 36267393600 + 695693376 = 190440^2 + 26376^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35781756 + ... + 35782788.

Almost surely, 2^36963086976 is an apocalyptic number.

36963086976 is a gapful number since it is divisible by the number (36) 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 36963086976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53986432500).

36963086976 is an abundant number, since it is smaller than the sum of its proper divisors (71009778024).

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

36963086976 is a wasteful number, since it uses less digits than its factorization.

36963086976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1491 (or 1476 counting only the distinct ones).

The product of its (nonzero) digits is 52907904, while the sum is 63.

The spelling of 36963086976 in words is "thirty-six billion, nine hundred sixty-three million, eighty-six thousand, nine hundred seventy-six".