355506167640 has 256 divisors, whose sum is σ = 1160381376000. Its totient is φ = 86610714624.

The previous prime is 355506167623. The next prime is 355506167657. The reversal of 355506167640 is 46761605553.

It is an interprime number because it is at equal distance from previous prime (355506167623) and next prime (355506167657).

It is a self number, because there is not a number n which added to its sum of digits gives 355506167640.

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, 209243511 + ... + 209245209.

It is an arithmetic number, because the mean of its divisors is an integer number (4532739750).

Almost surely, 2^355506167640 is an apocalyptic number.

355506167640 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 355506167640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580190688000).

355506167640 is an abundant number, since it is smaller than the sum of its proper divisors (804875208360).

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

355506167640 is a wasteful number, since it uses less digits than its factorization.

355506167640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3026 (or 3022 counting only the distinct ones).

The product of its (nonzero) digits is 2268000, while the sum is 48.

The spelling of 355506167640 in words is "three hundred fifty-five billion, five hundred six million, one hundred sixty-seven thousand, six hundred forty".