36641363040 has 192 divisors, whose sum is σ = 130002667200. Its totient is φ = 9637097472.

The previous prime is 36641362987. The next prime is 36641363041. The reversal of 36641363040 is 4036314663.

36641363040 is a `hidden beast` number, since 3 + 6 + 6 + 4 + 13 + 630 + 4 + 0 = 666.

36641363040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 36641362986 and 36641363004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36641363041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257266 + ... + 373454.

It is an arithmetic number, because the mean of its divisors is an integer number (677097225).

Almost surely, 2^36641363040 is an apocalyptic number.

36641363040 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 36641363040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65001333600).

36641363040 is an abundant number, since it is smaller than the sum of its proper divisors (93361304160).

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

36641363040 is a wasteful number, since it uses less digits than its factorization.

36641363040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116286 (or 116272 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The spelling of 36641363040 in words is "thirty-six billion, six hundred forty-one million, three hundred sixty-three thousand, forty".