352628640000 has 2700 divisors, whose sum is σ = 1696717826496. Its totient is φ = 71165952000.

The previous prime is 352628639999. The next prime is 352628640031. The reversal of 352628640000 is 46826253.

352628640000 is a `hidden beast` number, since 3 + 5 + 2 + 6 + 2 + 8 + 640 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2700).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 299 ways as a sum of consecutive naturals, for example, 15331679989 + ... + 15331680011.

Almost surely, 2^352628640000 is an apocalyptic number.

352628640000 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 352628640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (848358913248).

352628640000 is an abundant number, since it is smaller than the sum of its proper divisors (1344089186496).

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

352628640000 is an equidigital number, since it uses as much as digits as its factorization.

352628640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 352628640000 in words is "three hundred fifty-two billion, six hundred twenty-eight million, six hundred forty thousand".