352679927040 has 1728 divisors, whose sum is σ = 1554906447360. Its totient is φ = 74052403200.

The previous prime is 352679927029. The next prime is 352679927053. The reversal of 352679927040 is 40729976253.

352679927040 is a `hidden beast` number, since 3 + 526 + 7 + 9 + 9 + 2 + 70 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8601949420 + ... + 8601949460.

It is an arithmetic number, because the mean of its divisors is an integer number (899830120).

Almost surely, 2^352679927040 is an apocalyptic number.

352679927040 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 352679927040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777453223680).

352679927040 is an abundant number, since it is smaller than the sum of its proper divisors (1202226520320).

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

352679927040 is a wasteful number, since it uses less digits than its factorization.

352679927040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 352679927040 in words is "three hundred fifty-two billion, six hundred seventy-nine million, nine hundred twenty-seven thousand, forty".