32867757468 has 432 divisors, whose sum is σ = 109350259200. Its totient is φ = 8127475200.

The previous prime is 32867757467. The next prime is 32867757497. The reversal of 32867757468 is 86475776823.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32867757467) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 122184838 + ... + 122185106.

It is an arithmetic number, because the mean of its divisors is an integer number (253125600).

Almost surely, 2^32867757468 is an apocalyptic number.

32867757468 is a gapful number since it is divisible by the number (38) 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 32867757468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54675129600).

32867757468 is an abundant number, since it is smaller than the sum of its proper divisors (76482501732).

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

32867757468 is a wasteful number, since it uses less digits than its factorization.

32867757468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 464 counting only the distinct ones).

The product of its digits is 94832640, while the sum is 63.

The spelling of 32867757468 in words is "thirty-two billion, eight hundred sixty-seven million, seven hundred fifty-seven thousand, four hundred sixty-eight".