36818785392480 has 3456 divisors, whose sum is σ = 174244815868032. Its totient is φ = 7251784630272.

The previous prime is 36818785392469. The next prime is 36818785392503. The reversal of 36818785392480 is 8429358781863.

36818785392480 is a `hidden beast` number, since 3 + 6 + 8 + 1 + 8 + 7 + 8 + 53 + 92 + 480 = 666.

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 = 36818785392399 and 36818785392408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 66101948362 + ... + 66101948918.

It is an arithmetic number, because the mean of its divisors is an integer number (50418060147).

It is a 1-persistent number, because it is pandigital, but 2⋅36818785392480 = 73637570784960 is not.

Almost surely, 2^{36818785392480} is an apocalyptic number.

36818785392480 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 36818785392480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87122407934016).

36818785392480 is an abundant number, since it is smaller than the sum of its proper divisors (137426030475552).

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

36818785392480 is a wasteful number, since it uses less digits than its factorization.

36818785392480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 761 counting only the distinct ones).

The product of its (nonzero) digits is 557383680, while the sum is 72.

The spelling of 36818785392480 in words is "thirty-six trillion, eight hundred eighteen billion, seven hundred eighty-five million, three hundred ninety-two thousand, four hundred eighty".