36406628640000 has 1080 divisors, whose sum is σ = 135595362494592. Its totient is φ = 9385943040000.

The previous prime is 36406628639923. The next prime is 36406628640071. The reversal of 36406628640000 is 4682660463.

36406628640000 is a `hidden beast` number, since 364 + 0 + 6 + 6 + 286 + 4 + 0 + 0 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5617436760 + ... + 5617443240.

Almost surely, 2^{36406628640000} is an apocalyptic number.

36406628640000 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 36406628640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67797681247296).

36406628640000 is an abundant number, since it is smaller than the sum of its proper divisors (99188733854592).

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

36406628640000 is an equidigital number, since it uses as much as digits as its factorization.

36406628640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6653 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 36406628640000 in words is "thirty-six trillion, four hundred six billion, six hundred twenty-eight million, six hundred forty thousand".