6469840742400 has 2304 divisors, whose sum is σ = 29236428748800. Its totient is φ = 1368721981440.

The previous prime is 6469840742377. The next prime is 6469840742413. The reversal of 6469840742400 is 42470489646.

6469840742400 is a `hidden beast` number, since 6 + 46 + 98 + 40 + 74 + 2 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11021874907 + ... + 11021875493.

It is an arithmetic number, because the mean of its divisors is an integer number (12689422200).

Almost surely, 2^{6469840742400} is an apocalyptic number.

6469840742400 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 6469840742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14618214374400).

6469840742400 is an abundant number, since it is smaller than the sum of its proper divisors (22766588006400).

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

6469840742400 is a wasteful number, since it uses less digits than its factorization.

6469840742400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 688 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 6469840742400 in words is "six trillion, four hundred sixty-nine billion, eight hundred forty million, seven hundred forty-two thousand, four hundred".