1364573952 has 540 divisors, whose sum is σ = 5075088480. Its totient is φ = 362299392.

The previous prime is 1364573941. The next prime is 1364573971. The reversal of 1364573952 is 2593754631.

1364573952 is a `hidden beast` number, since 13 + 64 + 573 + 9 + 5 + 2 = 666.

Its product of digits (680400) is a multiple of the sum of its prime divisors (108).

It is a junction number, because it is equal to n+sod(n) for n = 1364573898 and 1364573907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 17273049 + ... + 17273127.

It is an arithmetic number, because the mean of its divisors is an integer number (9398312).

Almost surely, 2^1364573952 is an apocalyptic number.

1364573952 is a gapful number since it is divisible by the number (12) 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 1364573952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2537544240).

1364573952 is an abundant number, since it is smaller than the sum of its proper divisors (3710514528).

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

1364573952 is an equidigital number, since it uses as much as digits as its factorization.

1364573952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 108 counting only the distinct ones).

The product of its digits is 680400, while the sum is 45.

The square root of 1364573952 is about 36940.1401188463. The cubic root of 1364573952 is about 1109.1723267521.

The spelling of 1364573952 in words is "one billion, three hundred sixty-four million, five hundred seventy-three thousand, nine hundred fifty-two".