32478468750 has 672 divisors, whose sum is σ = 114658532352. Its totient is φ = 6706800000.

The previous prime is 32478468721. The next prime is 32478468769. The reversal of 32478468750 is 5786487423.

32478468750 is a `hidden beast` number, since 3 + 2 + 478 + 46 + 87 + 50 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 691031227 + ... + 691031273.

It is an arithmetic number, because the mean of its divisors is an integer number (170622816).

Almost surely, 2^32478468750 is an apocalyptic number.

32478468750 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 32478468750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57329266176).

32478468750 is an abundant number, since it is smaller than the sum of its proper divisors (82180063602).

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

32478468750 is an frugal number, since it uses more digits than its factorization.

32478468750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 32478468750 in words is "thirty-two billion, four hundred seventy-eight million, four hundred sixty-eight thousand, seven hundred fifty".