32950464960 has 224 divisors, whose sum is σ = 120507678720. Its totient is φ = 7472037888.

The previous prime is 32950464949. The next prime is 32950464983. The reversal of 32950464960 is 6946405923.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834136 + ... + 872744.

Almost surely, 2^32950464960 is an apocalyptic number.

32950464960 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 32950464960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60253839360).

32950464960 is an abundant number, since it is smaller than the sum of its proper divisors (87557213760).

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

32950464960 is a wasteful number, since it uses less digits than its factorization.

32950464960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38763 (or 38753 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 48.

The spelling of 32950464960 in words is "thirty-two billion, nine hundred fifty million, four hundred sixty-four thousand, nine hundred sixty".