6470616709440 has 1792 divisors, whose sum is σ = 27315214295040. Its totient is φ = 1425752064000.

The previous prime is 6470616709411. The next prime is 6470616709441. The reversal of 6470616709440 is 449076160746.

6470616709440 is a `hidden beast` number, since 6 + 4 + 70 + 61 + 6 + 70 + 9 + 440 = 666.

It is a super-2 number, since 2×6470616709440² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6470616709441) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11023196827 + ... + 11023197413.

It is an arithmetic number, because the mean of its divisors is an integer number (15242865120).

Almost surely, 2^{6470616709440} is an apocalyptic number.

6470616709440 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 6470616709440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13657607147520).

6470616709440 is an abundant number, since it is smaller than the sum of its proper divisors (20844597585600).

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

6470616709440 is a wasteful number, since it uses less digits than its factorization.

6470616709440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 6470616709440 in words is "six trillion, four hundred seventy billion, six hundred sixteen million, seven hundred nine thousand, four hundred forty".