36483982080 has 576 divisors, whose sum is σ = 144686158848. Its totient is φ = 7629373440.

The previous prime is 36483982033. The next prime is 36483982109. The reversal of 36483982080 is 8028938463.

It is a super-2 number, since 2×36483982080² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45776242 + ... + 45777038.

It is an arithmetic number, because the mean of its divisors is an integer number (251191248).

Almost surely, 2^36483982080 is an apocalyptic number.

36483982080 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 36483982080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72343079424).

36483982080 is an abundant number, since it is smaller than the sum of its proper divisors (108202176768).

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

36483982080 is a wasteful number, since it uses less digits than its factorization.

36483982080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 972 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 51.

The spelling of 36483982080 in words is "thirty-six billion, four hundred eighty-three million, nine hundred eighty-two thousand, eighty".