6470994277440 has 2688 divisors, whose sum is σ = 30252413399040. Its totient is φ = 1280494448640.

The previous prime is 6470994277361. The next prime is 6470994277457. The reversal of 6470994277440 is 447724990746.

6470994277440 is a `hidden beast` number, since 6 + 470 + 9 + 94 + 2 + 7 + 74 + 4 + 0 = 666.

It is a super-2 number, since 2×6470994277440² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28506582607 + ... + 28506582833.

It is an arithmetic number, because the mean of its divisors is an integer number (11254618080).

Almost surely, 2^{6470994277440} is an apocalyptic number.

6470994277440 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 6470994277440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15126206699520).

6470994277440 is an abundant number, since it is smaller than the sum of its proper divisors (23781419121600).

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

6470994277440 is a wasteful number, since it uses less digits than its factorization.

6470994277440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 329 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 85349376, while the sum is 63.

The spelling of 6470994277440 in words is "six trillion, four hundred seventy billion, nine hundred ninety-four million, two hundred seventy-seven thousand, four hundred forty".