353672927552 has 336 divisors, whose sum is σ = 922579856640. Its totient is φ = 133270437888.

The previous prime is 353672927549. The next prime is 353672927567. The reversal of 353672927552 is 255729276353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73941353 + ... + 73946135.

Almost surely, 2^353672927552 is an apocalyptic number.

353672927552 is a gapful number since it is divisible by the number (32) 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 353672927552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461289928320).

353672927552 is an abundant number, since it is smaller than the sum of its proper divisors (568906929088).

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

353672927552 is a wasteful number, since it uses less digits than its factorization.

353672927552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4918 (or 4901 counting only the distinct ones).

The product of its digits is 23814000, while the sum is 56.

The spelling of 353672927552 in words is "three hundred fifty-three billion, six hundred seventy-two million, nine hundred twenty-seven thousand, five hundred fifty-two".