32490644378400 has 2160 divisors, whose sum is σ = 138125075163768. Its totient is φ = 7401259008000.

The previous prime is 32490644378389. The next prime is 32490644378449. The reversal of 32490644378400 is 487344609423.

32490644378400 is a `hidden beast` number, since 3 + 2 + 4 + 90 + 6 + 443 + 78 + 40 + 0 = 666.

It can be written as a sum of positive squares in 36 ways, for example, as 24445865164176 + 8044779214224 = 4944276^2 + 2836332^2 .

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 11356392970 + ... + 11356395830.

Almost surely, 2^{32490644378400} is an apocalyptic number.

32490644378400 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 32490644378400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69062537581884).

32490644378400 is an abundant number, since it is smaller than the sum of its proper divisors (105634430785368).

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

32490644378400 is a wasteful number, since it uses less digits than its factorization.

32490644378400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2962 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 32490644378400 in words is "thirty-two trillion, four hundred ninety billion, six hundred forty-four million, three hundred seventy-eight thousand, four hundred".