36407363952960 has 2016 divisors, whose sum is σ = 175771279127808. Its totient is φ = 6679332126720.

The previous prime is 36407363952959. The next prime is 36407363952991. The reversal of 36407363952960 is 6925936370463.

It is a happy number.

36407363952960 is a `hidden beast` number, since 3 + 6 + 4 + 0 + 73 + 6 + 39 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1525031584 + ... + 1525055456.

It is an arithmetic number, because the mean of its divisors is an integer number (87188134488).

Almost surely, 2^{36407363952960} is an apocalyptic number.

36407363952960 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 36407363952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87885639563904).

36407363952960 is an abundant number, since it is smaller than the sum of its proper divisors (139363915174848).

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

36407363952960 is a wasteful number, since it uses less digits than its factorization.

36407363952960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23973 (or 23937 counting only the distinct ones).

The product of its (nonzero) digits is 132269760, while the sum is 63.

The spelling of 36407363952960 in words is "thirty-six trillion, four hundred seven billion, three hundred sixty-three million, nine hundred fifty-two thousand, nine hundred sixty".