6472315964160 has 1728 divisors, whose sum is σ = 27018137502720. Its totient is φ = 1471492915200.

The previous prime is 6472315964131. The next prime is 6472315964227. The reversal of 6472315964160 is 614695132746.

It is a happy number.

6472315964160 is a `hidden beast` number, since 6 + 4 + 7 + 2 + 3 + 1 + 596 + 41 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

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

It is a junction number, because it is equal to n+sod(n) for n = 6472315964097 and 6472315964106.

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, 2310714760 + ... + 2310717560.

It is an arithmetic number, because the mean of its divisors is an integer number (15635496240).

Almost surely, 2^{6472315964160} is an apocalyptic number.

6472315964160 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 6472315964160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13509068751360).

6472315964160 is an abundant number, since it is smaller than the sum of its proper divisors (20545821538560).

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

6472315964160 is a wasteful number, since it uses less digits than its factorization.

6472315964160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2896 (or 2870 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 6472315964160 in words is "six trillion, four hundred seventy-two billion, three hundred fifteen million, nine hundred sixty-four thousand, one hundred sixty".