36980213760 has 864 divisors, whose sum is σ = 157303036800. Its totient is φ = 7989166080.

The previous prime is 36980213759. The next prime is 36980213761. The reversal of 36980213760 is 6731208963.

36980213760 is a `hidden beast` number, since 369 + 8 + 0 + 213 + 76 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (36980213759) and next prime (36980213761).

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

It is not an unprimeable number, because it can be changed into a prime (36980213761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85800745 + ... + 85801175.

It is an arithmetic number, because the mean of its divisors is an integer number (182063700).

Almost surely, 2^36980213760 is an apocalyptic number.

36980213760 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 36980213760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78651518400).

36980213760 is an abundant number, since it is smaller than the sum of its proper divisors (120322823040).

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

36980213760 is a wasteful number, since it uses less digits than its factorization.

36980213760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 467 counting only the distinct ones).

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

The spelling of 36980213760 in words is "thirty-six billion, nine hundred eighty million, two hundred thirteen thousand, seven hundred sixty".