214647380640 has 1152 divisors, whose sum is σ = 969528268800. Its totient is φ = 41893355520.

The previous prime is 214647380639. The next prime is 214647380641. The reversal of 214647380640 is 46083746412.

214647380640 is a `hidden beast` number, since 2 + 1 + 46 + 473 + 80 + 64 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (214647380639) and next prime (214647380641).

It is a super-2 number, since 2×214647380640² (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (214647380641) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 292833714 + ... + 292834446.

It is an arithmetic number, because the mean of its divisors is an integer number (841604400).

Almost surely, 2^214647380640 is an apocalyptic number.

214647380640 is a gapful number since it is divisible by the number (20) 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 214647380640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (484764134400).

214647380640 is an abundant number, since it is smaller than the sum of its proper divisors (754880888160).

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

214647380640 is a wasteful number, since it uses less digits than its factorization.

214647380640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 930 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 214647380640 in words is "two hundred fourteen billion, six hundred forty-seven million, three hundred eighty thousand, six hundred forty".