32490166948800 has 672 divisors, whose sum is σ = 117650709705984. Its totient is φ = 7784460288000.

The previous prime is 32490166948721. The next prime is 32490166948817. The reversal of 32490166948800 is 884966109423.

It is a super-2 number, since 2×32490166948800² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1557747972 + ... + 1557768828.

It is an arithmetic number, because the mean of its divisors is an integer number (175075460872).

Almost surely, 2^{32490166948800} is an apocalyptic number.

32490166948800 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 32490166948800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58825354852992).

32490166948800 is an abundant number, since it is smaller than the sum of its proper divisors (85160542757184).

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

32490166948800 is a wasteful number, since it uses less digits than its factorization.

32490166948800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21237 (or 21222 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 60.

The spelling of 32490166948800 in words is "thirty-two trillion, four hundred ninety billion, one hundred sixty-six million, nine hundred forty-eight thousand, eight hundred".