36412760355840 has 2816 divisors, whose sum is σ = 155099847168000. Its totient is φ = 8005091328000.

The previous prime is 36412760355823. The next prime is 36412760355841. The reversal of 36412760355840 is 4855306721463.

36412760355840 is a `hidden beast` number, since 3 + 6 + 4 + 1 + 27 + 6 + 0 + 35 + 584 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2816).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36412760355841) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 69890134780 + ... + 69890135300.

Almost surely, 2^{36412760355840} is an apocalyptic number.

36412760355840 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 36412760355840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77549923584000).

36412760355840 is an abundant number, since it is smaller than the sum of its proper divisors (118687086812160).

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

36412760355840 is a wasteful number, since it uses less digits than its factorization.

36412760355840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685 (or 661 counting only the distinct ones).

The product of its (nonzero) digits is 14515200, while the sum is 54.

The spelling of 36412760355840 in words is "thirty-six trillion, four hundred twelve billion, seven hundred sixty million, three hundred fifty-five thousand, eight hundred forty".