1864572272640 has 3264 divisors, whose sum is σ = 9295177835520. Its totient is φ = 348798320640.

The previous prime is 1864572272639. The next prime is 1864572272683. The reversal of 1864572272640 is 462722754681.

1864572272640 is a `hidden beast` number, since 1 + 8 + 6 + 4 + 572 + 2 + 7 + 2 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3264).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 81068359669 + ... + 81068359691.

Almost surely, 2^{1864572272640} is an apocalyptic number.

1864572272640 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 1864572272640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4647588917760).

1864572272640 is an abundant number, since it is smaller than the sum of its proper divisors (7430605562880).

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

1864572272640 is a wasteful number, since it uses less digits than its factorization.

1864572272640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 68 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 1864572272640 in words is "one trillion, eight hundred sixty-four billion, five hundred seventy-two million, two hundred seventy-two thousand, six hundred forty".