364162338540 has 960 divisors, whose sum is σ = 1565483673600. Its totient is φ = 69834078720.

The previous prime is 364162338523. The next prime is 364162338569. The reversal of 364162338540 is 45833261463.

364162338540 is a `hidden beast` number, since 3 + 6 + 41 + 62 + 3 + 3 + 8 + 540 = 666.

It is a super-2 number, since 2×364162338540² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 79457089 + ... + 79461671.

It is an arithmetic number, because the mean of its divisors is an integer number (1630712160).

Almost surely, 2^364162338540 is an apocalyptic number.

364162338540 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 364162338540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (782741836800).

364162338540 is an abundant number, since it is smaller than the sum of its proper divisors (1201321335060).

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

364162338540 is a wasteful number, since it uses less digits than its factorization.

364162338540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4649 (or 4624 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

The spelling of 364162338540 in words is "three hundred sixty-four billion, one hundred sixty-two million, three hundred thirty-eight thousand, five hundred forty".