36613072980 has 576 divisors, whose sum is σ = 130631961600. Its totient is φ = 8500377600.

The previous prime is 36613072949. The next prime is 36613072987. The reversal of 36613072980 is 8927031663.

36613072980 is a `hidden beast` number, since 3 + 6 + 613 + 0 + 7 + 29 + 8 + 0 = 666.

It is a super-2 number, since 2×36613072980² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36613072987) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 211636174 + ... + 211636346.

It is an arithmetic number, because the mean of its divisors is an integer number (226791600).

Almost surely, 2^36613072980 is an apocalyptic number.

36613072980 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 36613072980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65315980800).

36613072980 is an abundant number, since it is smaller than the sum of its proper divisors (94018888620).

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

36613072980 is a wasteful number, since it uses less digits than its factorization.

36613072980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 36613072980 in words is "thirty-six billion, six hundred thirteen million, seventy-two thousand, nine hundred eighty".