216257734764864 has 2520 divisors, whose sum is σ = 783783016632000. Its totient is φ = 58728990228480.

The previous prime is 216257734764859. The next prime is 216257734764901. The reversal of 216257734764864 is 468467437752612.

216257734764864 is a `hidden beast` number, since 2 + 1 + 6 + 2 + 5 + 7 + 73 + 4 + 76 + 486 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 216257734764792 and 216257734764801.

It is a congruent number.

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, 361031276437 + ... + 361031277035.

It is an arithmetic number, because the mean of its divisors is an integer number (311025006600).

Almost surely, 2^{216257734764864} is an apocalyptic number.

216257734764864 is a gapful number since it is divisible by the number (24) 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 216257734764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391891508316000).

216257734764864 is an abundant number, since it is smaller than the sum of its proper divisors (567525281867136).

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

216257734764864 is a wasteful number, since it uses less digits than its factorization.

216257734764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 700 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

The spelling of 216257734764864 in words is "two hundred sixteen trillion, two hundred fifty-seven billion, seven hundred thirty-four million, seven hundred sixty-four thousand, eight hundred sixty-four".