1264361472 has 168 divisors, whose sum is σ = 3986966880. Its totient is φ = 382894080.

The previous prime is 1264361453. The next prime is 1264361473. The reversal of 1264361472 is 2741634621.

1264361472 is a `hidden beast` number, since 1 + 2 + 643 + 6 + 1 + 4 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1264361473) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 810229 + ... + 811787.

Almost surely, 2^1264361472 is an apocalyptic number.

1264361472 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 1264361472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1993483440).

1264361472 is an abundant number, since it is smaller than the sum of its proper divisors (2722605408).

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

1264361472 is a wasteful number, since it uses less digits than its factorization.

1264361472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1602 (or 1575 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 1264361472 is about 35557.8609030408. The cubic root of 1264361472 is about 1081.3270928938.

The spelling of 1264361472 in words is "one billion, two hundred sixty-four million, three hundred sixty-one thousand, four hundred seventy-two".