1396289664 has 576 divisors, whose sum is σ = 5333065920. Its totient is φ = 355829760.

The previous prime is 1396289641. The next prime is 1396289701. The reversal of 1396289664 is 4669826931.

1396289664 is a `hidden beast` number, since 1 + 3 + 9 + 628 + 9 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1396289664.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26345062 + ... + 26345114.

It is an arithmetic number, because the mean of its divisors is an integer number (9258795).

Almost surely, 2^1396289664 is an apocalyptic number.

1396289664 is a gapful number since it is divisible by the number (14) 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 1396289664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666532960).

1396289664 is an abundant number, since it is smaller than the sum of its proper divisors (3936776256).

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

1396289664 is an equidigital number, since it uses as much as digits as its factorization.

1396289664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 76 counting only the distinct ones).

The product of its digits is 3359232, while the sum is 54.

The square root of 1396289664 is about 37366.9595230867. The cubic root of 1396289664 is about 1117.6998030202.

The spelling of 1396289664 in words is "one billion, three hundred ninety-six million, two hundred eighty-nine thousand, six hundred sixty-four".