1264644057600 has 3600 divisors, whose sum is σ = 6215277125376. Its totient is φ = 250822656000.

The previous prime is 1264644057581. The next prime is 1264644057613. The reversal of 1264644057600 is 67504464621.

1264644057600 is a `hidden beast` number, since 12 + 6 + 4 + 64 + 4 + 0 + 576 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 17323891164 + ... + 17323891236.

Almost surely, 2^{1264644057600} is an apocalyptic number.

1264644057600 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 1264644057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107638562688).

1264644057600 is an abundant number, since it is smaller than the sum of its proper divisors (4950633067776).

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

1264644057600 is a wasteful number, since it uses less digits than its factorization.

1264644057600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 1264644057600 in words is "one trillion, two hundred sixty-four billion, six hundred forty-four million, fifty-seven thousand, six hundred".