6401534760 has 128 divisors (see below), whose sum is σ = 21359520000. Its totient is φ = 1705390848.

The previous prime is 6401534719. The next prime is 6401534779. The reversal of 6401534760 is 674351046.

It is a happy number.

6401534760 is a `hidden beast` number, since 64 + 0 + 1 + 534 + 7 + 60 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1404966 + ... + 1409514.

It is an arithmetic number, because the mean of its divisors is an integer number (166871250).

Almost surely, 2^6401534760 is an apocalyptic number.

6401534760 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 6401534760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10679760000).

6401534760 is an abundant number, since it is smaller than the sum of its proper divisors (14957985240).

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

6401534760 is a wasteful number, since it uses less digits than its factorization.

6401534760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5872 (or 5862 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 6401534760 is about 80009.5916749986. The cubic root of 6401534760 is about 1856.7839325184.

The spelling of 6401534760 in words is "six billion, four hundred one million, five hundred thirty-four thousand, seven hundred sixty".