6405729264000 has 4096 divisors, whose sum is σ = 29035708416000. Its totient is φ = 1371009024000.

The previous prime is 6405729263993. The next prime is 6405729264017. The reversal of 6405729264000 is 4629275046.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 136292111977 + ... + 136292112023.

It is an arithmetic number, because the mean of its divisors is an integer number (7088796000).

Almost surely, 2^{6405729264000} is an apocalyptic number.

6405729264000 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 6405729264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517854208000).

6405729264000 is an abundant number, since it is smaller than the sum of its proper divisors (22629979152000).

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

6405729264000 is a wasteful number, since it uses less digits than its factorization.

6405729264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 6405729264000 in words is "six trillion, four hundred five billion, seven hundred twenty-nine million, two hundred sixty-four thousand".