36633776040 has 192 divisors, whose sum is σ = 126342216000. Its totient is φ = 9541711872.

The previous prime is 36633775993. The next prime is 36633776057. The reversal of 36633776040 is 4067733663.

36633776040 is a `hidden beast` number, since 3 + 6 + 6 + 3 + 37 + 7 + 604 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 374136 + ... + 461784.

It is an arithmetic number, because the mean of its divisors is an integer number (658032375).

Almost surely, 2^36633776040 is an apocalyptic number.

36633776040 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 36633776040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63171108000).

36633776040 is an abundant number, since it is smaller than the sum of its proper divisors (89708439960).

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

36633776040 is a wasteful number, since it uses less digits than its factorization.

36633776040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87718 (or 87702 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 36633776040 in words is "thirty-six billion, six hundred thirty-three million, seven hundred seventy-six thousand, forty".