1364912640 has 960 divisors, whose sum is σ = 6269598720. Its totient is φ = 278691840.

The previous prime is 1364912639. The next prime is 1364912641. The reversal of 1364912640 is 462194631.

1364912640 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 9 + 1 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (1364912639) and next prime (1364912641).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1364912595 and 1364912604.

It is not an unprimeable number, because it can be changed into a prime (1364912641) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 44029425 + ... + 44029455.

It is an arithmetic number, because the mean of its divisors is an integer number (6530832).

Almost surely, 2^1364912640 is an apocalyptic number.

1364912640 is a gapful number since it is divisible by the number (10) 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 1364912640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3134799360).

1364912640 is an abundant number, since it is smaller than the sum of its proper divisors (4904686080).

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

1364912640 is a wasteful number, since it uses less digits than its factorization.

1364912640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1364912640 is about 36944.7241159005. The cubic root of 1364912640 is about 1109.2640848868.

The spelling of 1364912640 in words is "one billion, three hundred sixty-four million, nine hundred twelve thousand, six hundred forty".