6474462144 has 112 divisors (see below), whose sum is σ = 17503371648. Its totient is φ = 2111669248.

The previous prime is 6474462133. The next prime is 6474462149. The reversal of 6474462144 is 4412644746.

It is a junction number, because it is equal to n+sod(n) for n = 6474462096 and 6474462105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6474462149) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1703254 + ... + 1707050.

It is an arithmetic number, because the mean of its divisors is an integer number (156280104).

Almost surely, 2^6474462144 is an apocalyptic number.

6474462144 is a gapful number since it is divisible by the number (64) 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 6474462144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8751685824).

6474462144 is an abundant number, since it is smaller than the sum of its proper divisors (11028909504).

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

6474462144 is a wasteful number, since it uses less digits than its factorization.

6474462144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4002 (or 3992 counting only the distinct ones).

The product of its digits is 516096, while the sum is 42.

The square root of 6474462144 is about 80464.0425531802. The cubic root of 6474462144 is about 1863.8082594253.

The spelling of 6474462144 in words is "six billion, four hundred seventy-four million, four hundred sixty-two thousand, one hundred forty-four".