352723790678400 has 576 divisors, whose sum is σ = 1371271467942000. Its totient is φ = 88526749040640.

The previous prime is 352723790678381. The next prime is 352723790678423. The reversal of 352723790678400 is 4876097327253.

352723790678400 is a `hidden beast` number, since 3 + 5 + 2 + 72 + 3 + 7 + 90 + 6 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17906536 + ... + 32032664.

Almost surely, 2^{352723790678400} is an apocalyptic number.

352723790678400 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 352723790678400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685635733971000).

352723790678400 is an abundant number, since it is smaller than the sum of its proper divisors (1018547677263600).

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

352723790678400 is a wasteful number, since it uses less digits than its factorization.

352723790678400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14126196 (or 14126156 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 352723790678400 in words is "three hundred fifty-two trillion, seven hundred twenty-three billion, seven hundred ninety million, six hundred seventy-eight thousand, four hundred".