6349777920 has 440 divisors, whose sum is σ = 23219170128. Its totient is φ = 1658880000.

The previous prime is 6349777909. The next prime is 6349777961. The reversal of 6349777920 is 297779436.

6349777920 is a `hidden beast` number, since 63 + 497 + 7 + 7 + 92 + 0 = 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 39 ways as a sum of consecutive naturals, for example, 25297795 + ... + 25298045.

Almost surely, 2^6349777920 is an apocalyptic number.

6349777920 is a gapful number since it is divisible by the number (60) 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 6349777920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11609585064).

6349777920 is an abundant number, since it is smaller than the sum of its proper divisors (16869392208).

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

6349777920 is a wasteful number, since it uses less digits than its factorization.

6349777920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 4000752, while the sum is 54.

The square root of 6349777920 is about 79685.4937865105. The cubic root of 6349777920 is about 1851.7663111073.

The spelling of 6349777920 in words is "six billion, three hundred forty-nine million, seven hundred seventy-seven thousand, nine hundred twenty".