6342477120 has 224 divisors, whose sum is σ = 25571500800. Its totient is φ = 1449695232.

The previous prime is 6342477101. The next prime is 6342477157. The reversal of 6342477120 is 217742436.

6342477120 is a `hidden beast` number, since 63 + 4 + 2 + 477 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×6342477120³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8046 + ... + 112914.

Almost surely, 2^6342477120 is an apocalyptic number.

6342477120 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 6342477120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12785750400).

6342477120 is an abundant number, since it is smaller than the sum of its proper divisors (19229023680).

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

6342477120 is a wasteful number, since it uses less digits than its factorization.

6342477120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104902 (or 104886 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 6342477120 is about 79639.6705166464. The cubic root of 6342477120 is about 1851.0563356106.

The spelling of 6342477120 in words is "six billion, three hundred forty-two million, four hundred seventy-seven thousand, one hundred twenty".