1264371696 has 360 divisors, whose sum is σ = 4399405920. Its totient is φ = 337333248.

The previous prime is 1264371679. The next prime is 1264371707. The reversal of 1264371696 is 6961734621.

1264371696 is a `hidden beast` number, since 126 + 437 + 1 + 6 + 96 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7571005 + ... + 7571171.

It is an arithmetic number, because the mean of its divisors is an integer number (12220572).

Almost surely, 2^1264371696 is an apocalyptic number.

1264371696 is a gapful number since it is divisible by the number (16) 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 1264371696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2199702960).

1264371696 is an abundant number, since it is smaller than the sum of its proper divisors (3135034224).

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

1264371696 is a wasteful number, since it uses less digits than its factorization.

1264371696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 245 counting only the distinct ones).

The product of its digits is 326592, while the sum is 45.

The square root of 1264371696 is about 35558.0046684287. The cubic root of 1264371696 is about 1081.3300075293.

The spelling of 1264371696 in words is "one billion, two hundred sixty-four million, three hundred seventy-one thousand, six hundred ninety-six".