64219643904 has 288 divisors, whose sum is σ = 195537706560. Its totient is φ = 18572378112.

The previous prime is 64219643899. The next prime is 64219643911. The reversal of 64219643904 is 40934691246.

It is a super-2 number, since 2×64219643904² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86900367 + ... + 86901105.

It is an arithmetic number, because the mean of its divisors is an integer number (678950370).

Almost surely, 2^64219643904 is an apocalyptic number.

64219643904 is a gapful number since it is divisible by the number (64) 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 64219643904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97768853280).

64219643904 is an abundant number, since it is smaller than the sum of its proper divisors (131318062656).

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

64219643904 is an equidigital number, since it uses as much as digits as its factorization.

64219643904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 806 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 48.

The spelling of 64219643904 in words is "sixty-four billion, two hundred nineteen million, six hundred forty-three thousand, nine hundred four".