32295876480 has 1152 divisors, whose sum is σ = 141054151680. Its totient is φ = 6762921984.

The previous prime is 32295876479. The next prime is 32295876511. The reversal of 32295876480 is 8467859223.

32295876480 is a `hidden beast` number, since 3 + 2 + 2 + 95 + 8 + 76 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×32295876480² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 254298177 + ... + 254298303.

It is an arithmetic number, because the mean of its divisors is an integer number (122442840).

Almost surely, 2^32295876480 is an apocalyptic number.

32295876480 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 32295876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70527075840).

32295876480 is an abundant number, since it is smaller than the sum of its proper divisors (108758275200).

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

32295876480 is a wasteful number, since it uses less digits than its factorization.

32295876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 32295876480 in words is "thirty-two billion, two hundred ninety-five million, eight hundred seventy-six thousand, four hundred eighty".