365846117640 has 128 divisors (see below), whose sum is σ = 1124710876800. Its totient is φ = 95145338880.

The previous prime is 365846117617. The next prime is 365846117647. The reversal of 365846117640 is 46711648563.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (365846117647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15550206 + ... + 15573714.

It is an arithmetic number, because the mean of its divisors is an integer number (8786803725).

Almost surely, 2^365846117640 is an apocalyptic number.

365846117640 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 365846117640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (562355438400).

365846117640 is an abundant number, since it is smaller than the sum of its proper divisors (758864759160).

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

365846117640 is a wasteful number, since it uses less digits than its factorization.

365846117640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26727 (or 26723 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 365846117640 in words is "three hundred sixty-five billion, eight hundred forty-six million, one hundred seventeen thousand, six hundred forty".