355673452680 has 768 divisors, whose sum is σ = 1539621457920. Its totient is φ = 71776336896.

The previous prime is 355673452639. The next prime is 355673452697. The reversal of 355673452680 is 86254376553.

355673452680 is a `hidden beast` number, since 3 + 5 + 5 + 6 + 7 + 34 + 526 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 20335219 + ... + 20352701.

It is an arithmetic number, because the mean of its divisors is an integer number (2004715440).

Almost surely, 2^355673452680 is an apocalyptic number.

355673452680 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 355673452680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (769810728960).

355673452680 is an abundant number, since it is smaller than the sum of its proper divisors (1183948005240).

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

355673452680 is a wasteful number, since it uses less digits than its factorization.

355673452680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17552 (or 17536 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 355673452680 in words is "three hundred fifty-five billion, six hundred seventy-three million, four hundred fifty-two thousand, six hundred eighty".