1264236180480 has 1760 divisors, whose sum is σ = 5639179096320. Its totient is φ = 263722106880.

The previous prime is 1264236180469. The next prime is 1264236180583. The reversal of 1264236180480 is 840816324621.

1264236180480 is a `hidden beast` number, since 1 + 2 + 6 + 4 + 23 + 618 + 0 + 4 + 8 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5245793160 + ... + 5245793400.

It is an arithmetic number, because the mean of its divisors is an integer number (3204079032).

Almost surely, 2^{1264236180480} is an apocalyptic number.

1264236180480 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 1264236180480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2819589548160).

1264236180480 is an abundant number, since it is smaller than the sum of its proper divisors (4374942915840).

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

1264236180480 is a wasteful number, since it uses less digits than its factorization.

1264236180480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 437 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1264236180480 in words is "one trillion, two hundred sixty-four billion, two hundred thirty-six million, one hundred eighty thousand, four hundred eighty".