6234414464064 has 224 divisors, whose sum is σ = 18391525441920. Its totient is φ = 1852271788032.

The previous prime is 6234414464063. The next prime is 6234414464099. The reversal of 6234414464064 is 4604644144326.

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

It is not an unprimeable number, because it can be changed into a prime (6234414464063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183364314 + ... + 183398310.

Almost surely, 2^{6234414464064} is an apocalyptic number.

6234414464064 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 6234414464064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9195762720960).

6234414464064 is an abundant number, since it is smaller than the sum of its proper divisors (12157110977856).

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

6234414464064 is a wasteful number, since it uses less digits than its factorization.

6234414464064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37005 (or 36995 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 48.

The spelling of 6234414464064 in words is "six trillion, two hundred thirty-four billion, four hundred fourteen million, four hundred sixty-four thousand, sixty-four".