6361504128 has 640 divisors, whose sum is σ = 23412280320. Its totient is φ = 1675137024.

The previous prime is 6361504021. The next prime is 6361504129. The reversal of 6361504128 is 8214051636.

It is a happy number.

6361504128 is a `hidden beast` number, since 636 + 1 + 5 + 0 + 4 + 12 + 8 = 666.

It is a super-2 number, since 2×6361504128² = 80937469541122080768, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 6361504092 and 6361504101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6361504129) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61762125 + ... + 61762227.

It is an arithmetic number, because the mean of its divisors is an integer number (36581688).

Almost surely, 2^6361504128 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 6361504128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11706140160).

6361504128 is an abundant number, since it is smaller than the sum of its proper divisors (17050776192).

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

6361504128 is a wasteful number, since it uses less digits than its factorization.

6361504128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 6361504128 is about 79759.0379079387. The cubic root of 6361504128 is about 1852.9055028650.

The spelling of 6361504128 in words is "six billion, three hundred sixty-one million, five hundred four thousand, one hundred twenty-eight".