36261879482880 has 400 divisors, whose sum is σ = 129952602188640. Its totient is φ = 9664324558848.

The previous prime is 36261879482863. The next prime is 36261879482891. The reversal of 36261879482880 is 8828497816263.

36261879482880 is a `hidden beast` number, since 3 + 6 + 2 + 61 + 8 + 7 + 9 + 482 + 8 + 80 = 666.

It is a super-3 number, since 3×36261879482880³ (a number of 42 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 36261879482799 and 36261879482808.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 370503391 + ... + 370601249.

Almost surely, 2^{36261879482880} is an apocalyptic number.

36261879482880 is a gapful number since it is divisible by the number (30) 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 36261879482880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64976301094320).

36261879482880 is an abundant number, since it is smaller than the sum of its proper divisors (93690722705760).

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

36261879482880 is an equidigital number, since it uses as much as digits as its factorization.

36261879482880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99681 (or 99656 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 36261879482880 in words is "thirty-six trillion, two hundred sixty-one billion, eight hundred seventy-nine million, four hundred eighty-two thousand, eight hundred eighty".