1264979760 has 320 divisors, whose sum is σ = 4535709696. Its totient is φ = 288640000.

The previous prime is 1264979731. The next prime is 1264979789. The reversal of 1264979760 is 679794621.

It is an interprime number because it is at equal distance from previous prime (1264979731) and next prime (1264979789).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5039635 + ... + 5039885.

Almost surely, 2^1264979760 is an apocalyptic number.

1264979760 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 1264979760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2267854848).

1264979760 is an abundant number, since it is smaller than the sum of its proper divisors (3270729936).

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

1264979760 is a wasteful number, since it uses less digits than its factorization.

1264979760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 51.

The square root of 1264979760 is about 35566.5539517114. The cubic root of 1264979760 is about 1081.5033248312.

The spelling of 1264979760 in words is "one billion, two hundred sixty-four million, nine hundred seventy-nine thousand, seven hundred sixty".