6361153920 has 288 divisors, whose sum is σ = 24146937360. Its totient is φ = 1541928960.

The previous prime is 6361153913. The next prime is 6361153921. The reversal of 6361153920 is 293511636.

6361153920 is a `hidden beast` number, since 6 + 3 + 611 + 5 + 39 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6361153921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 692397 + ... + 701523.

Almost surely, 2^6361153920 is an apocalyptic number.

6361153920 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 6361153920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12073468680).

6361153920 is an abundant number, since it is smaller than the sum of its proper divisors (17785783440).

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

6361153920 is a wasteful number, since it uses less digits than its factorization.

6361153920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9174 (or 9148 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 6361153920 is about 79756.8424650826. The cubic root of 6361153920 is about 1852.8715007263.

The spelling of 6361153920 in words is "six billion, three hundred sixty-one million, one hundred fifty-three thousand, nine hundred twenty".