1364496672 has 288 divisors, whose sum is σ = 4572118656. Its totient is φ = 348733440.

The previous prime is 1364496671. The next prime is 1364496691. The reversal of 1364496672 is 2766944631.

It is a super-3 number, since 3×1364496672³ (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (1364496671) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7887178 + ... + 7887350.

It is an arithmetic number, because the mean of its divisors is an integer number (15875412).

Almost surely, 2^1364496672 is an apocalyptic number.

1364496672 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 1364496672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286059328).

1364496672 is an abundant number, since it is smaller than the sum of its proper divisors (3207621984).

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

1364496672 is a wasteful number, since it uses less digits than its factorization.

1364496672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 293 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 48.

The square root of 1364496672 is about 36939.0940874299. The cubic root of 1364496672 is about 1109.1513877488.

The spelling of 1364496672 in words is "one billion, three hundred sixty-four million, four hundred ninety-six thousand, six hundred seventy-two".