6401553120 has 336 divisors, whose sum is σ = 23024246112. Its totient is φ = 1680860160.

The previous prime is 6401553097. The next prime is 6401553139. The reversal of 6401553120 is 213551046.

6401553120 is a `hidden beast` number, since 640 + 1 + 5 + 5 + 3 + 12 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 8281054 + ... + 8281826.

It is an arithmetic number, because the mean of its divisors is an integer number (68524542).

Almost surely, 2^6401553120 is an apocalyptic number.

6401553120 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 6401553120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11512123056).

6401553120 is an abundant number, since it is smaller than the sum of its proper divisors (16622692992).

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

6401553120 is an equidigital number, since it uses as much as digits as its factorization.

6401553120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 854 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6401553120 is about 80009.7064111599. The cubic root of 6401553120 is about 1856.7857076406.

The spelling of 6401553120 in words is "six billion, four hundred one million, five hundred fifty-three thousand, one hundred twenty".