6406406463744 has 1053 divisors, whose sum is σ = 23056376087871. Its totient is φ = 1771356625920.

The previous prime is 6406406463739. The next prime is 6406406463781. The reversal of 6406406463744 is 4473646046046.

The square root of 6406406463744 is 2531088.

It is a perfect power (a square), and thus also a powerful number.

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

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 116 ways as a sum of consecutive naturals, for example, 206658273009 + ... + 206658273039.

Almost surely, 2^{6406406463744} is an apocalyptic number.

6406406463744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6406406463744 is the 2531088-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6406406463744

6406406463744 is an abundant number, since it is smaller than the sum of its proper divisors (16649969624127).

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

6406406463744 is an frugal number, since it uses more digits than its factorization.

6406406463744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 54.

The spelling of 6406406463744 in words is "six trillion, four hundred six billion, four hundred six million, four hundred sixty-three thousand, seven hundred forty-four".