6338554992 has 480 divisors, whose sum is σ = 24223449600. Its totient is φ = 1548011520.

The previous prime is 6338554979. The next prime is 6338555017. The reversal of 6338554992 is 2994558336.

6338554992 is a `hidden beast` number, since 6 + 3 + 3 + 8 + 5 + 549 + 92 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6219859 + ... + 6220877.

It is an arithmetic number, because the mean of its divisors is an integer number (50465520).

Almost surely, 2^6338554992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6338554992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12111724800).

6338554992 is an abundant number, since it is smaller than the sum of its proper divisors (17884894608).

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

6338554992 is a wasteful number, since it uses less digits than its factorization.

6338554992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1082 (or 1059 counting only the distinct ones).

The product of its digits is 6998400, while the sum is 54.

The square root of 6338554992 is about 79615.0424982616. The cubic root of 6338554992 is about 1850.6746983427.

It can be divided in two parts, 633 and 8554992, that added together give a square (8555625 = 2925²).

The spelling of 6338554992 in words is "six billion, three hundred thirty-eight million, five hundred fifty-four thousand, nine hundred ninety-two".