6406908373440 has 336 divisors, whose sum is σ = 22859837346528. Its totient is φ = 1708019011584.

The previous prime is 6406908373399. The next prime is 6406908373457. The reversal of 6406908373440 is 443738096046.

6406908373440 is a `hidden beast` number, since 6 + 40 + 6 + 90 + 8 + 3 + 73 + 440 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 330703594 + ... + 330722966.

It is an arithmetic number, because the mean of its divisors is an integer number (68035230198).

Almost surely, 2^{6406908373440} is an apocalyptic number.

6406908373440 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 6406908373440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11429918673264).

6406908373440 is an abundant number, since it is smaller than the sum of its proper divisors (16452928973088).

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

6406908373440 is a wasteful number, since it uses less digits than its factorization.

6406908373440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23658 (or 23636 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 54.

The spelling of 6406908373440 in words is "six trillion, four hundred six billion, nine hundred eight million, three hundred seventy-three thousand, four hundred forty".