353856479680 has 448 divisors, whose sum is σ = 1014128999424. Its totient is φ = 116121600000.

The previous prime is 353856479657. The next prime is 353856479707. The reversal of 353856479680 is 86974658353.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 157198555 + ... + 157200805.

Almost surely, 2^353856479680 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 353856479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (507064499712).

353856479680 is an abundant number, since it is smaller than the sum of its proper divisors (660272519744).

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

353856479680 is a wasteful number, since it uses less digits than its factorization.

353856479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2404 (or 2394 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 64.

The spelling of 353856479680 in words is "three hundred fifty-three billion, eight hundred fifty-six million, four hundred seventy-nine thousand, six hundred eighty".