36861479839296 has 1568 divisors, whose sum is σ = 138776530452480. Its totient is φ = 9467659468800.

The previous prime is 36861479839291. The next prime is 36861479839337. The reversal of 36861479839296 is 69293897416863.

36861479839296 is a `hidden beast` number, since 3 + 6 + 8 + 61 + 479 + 83 + 9 + 2 + 9 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (36861479839291) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 13597003381 + ... + 13597006091.

Almost surely, 2^{36861479839296} is an apocalyptic number.

36861479839296 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 36861479839296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69388265226240).

36861479839296 is an abundant number, since it is smaller than the sum of its proper divisors (101915050613184).

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

36861479839296 is a wasteful number, since it uses less digits than its factorization.

36861479839296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2850 counting only the distinct ones).

The product of its digits is 5079158784, while the sum is 81.

The spelling of 36861479839296 in words is "thirty-six trillion, eight hundred sixty-one billion, four hundred seventy-nine million, eight hundred thirty-nine thousand, two hundred ninety-six".