1264536000 has 672 divisors, whose sum is σ = 5596176768. Its totient is φ = 265420800.

The previous prime is 1264535999. The next prime is 1264536001. The reversal of 1264536000 is 6354621.

1264536000 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 53 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1264535999) and next prime (1264536001).

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1264536001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6551904 + ... + 6552096.

It is an arithmetic number, because the mean of its divisors is an integer number (8327644).

Almost surely, 2^1264536000 is an apocalyptic number.

1264536000 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 1264536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798088384).

1264536000 is an abundant number, since it is smaller than the sum of its proper divisors (4331640768).

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

1264536000 is a wasteful number, since it uses less digits than its factorization.

1264536000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 1264536000 is about 35560.3149592351. The cubic root of 1264536000 is about 1081.3768447979.

The spelling of 1264536000 in words is "one billion, two hundred sixty-four million, five hundred thirty-six thousand".