36863354880 has 1536 divisors, whose sum is σ = 163034726400. Its totient is φ = 7785676800.

The previous prime is 36863354867. The next prime is 36863354881. The reversal of 36863354880 is 8845336863.

36863354880 is a `hidden beast` number, since 3 + 68 + 6 + 33 + 548 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (36863354881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1189140465 + ... + 1189140495.

It is an arithmetic number, because the mean of its divisors is an integer number (106142400).

Almost surely, 2^36863354880 is an apocalyptic number.

36863354880 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 36863354880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81517363200).

36863354880 is an abundant number, since it is smaller than the sum of its proper divisors (126171371520).

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

36863354880 is a wasteful number, since it uses less digits than its factorization.

36863354880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 36863354880 in words is "thirty-six billion, eight hundred sixty-three million, three hundred fifty-four thousand, eight hundred eighty".