32968779480 has 384 divisors, whose sum is σ = 138818534400. Its totient is φ = 6589817856.

The previous prime is 32968779457. The next prime is 32968779491. The reversal of 32968779480 is 8497786923.

32968779480 is a `hidden beast` number, since 3 + 2 + 9 + 6 + 87 + 79 + 480 = 666.

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

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, 595957 + ... + 648923.

It is an arithmetic number, because the mean of its divisors is an integer number (361506600).

Almost surely, 2^32968779480 is an apocalyptic number.

32968779480 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 32968779480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69409267200).

32968779480 is an abundant number, since it is smaller than the sum of its proper divisors (105849754920).

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

32968779480 is a wasteful number, since it uses less digits than its factorization.

32968779480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53023 (or 53016 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 32968779480 in words is "thirty-two billion, nine hundred sixty-eight million, seven hundred seventy-nine thousand, four hundred eighty".