32990456520 has 512 divisors, whose sum is σ = 131328000000. Its totient is φ = 7208911872.

The previous prime is 32990456509. The next prime is 32990456531. The reversal of 32990456520 is 2565409923.

32990456520 is a `hidden beast` number, since 32 + 9 + 90 + 4 + 5 + 6 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (32990456509) and next prime (32990456531).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16502481 + ... + 16504479.

It is an arithmetic number, because the mean of its divisors is an integer number (256500000).

Almost surely, 2^32990456520 is an apocalyptic number.

32990456520 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 32990456520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65664000000).

32990456520 is an abundant number, since it is smaller than the sum of its proper divisors (98337543480).

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

32990456520 is a wasteful number, since it uses less digits than its factorization.

32990456520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2122 (or 2112 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 32990456520 in words is "thirty-two billion, nine hundred ninety million, four hundred fifty-six thousand, five hundred twenty".