1477219968 has 192 divisors, whose sum is σ = 4990427520. Its totient is φ = 410572800.

The previous prime is 1477219963. The next prime is 1477220033. The reversal of 1477219968 is 8699127741.

1477219968 is a `hidden beast` number, since 1 + 477 + 21 + 99 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1477219963) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 295893 + ... + 300843.

It is an arithmetic number, because the mean of its divisors is an integer number (25991810).

Almost surely, 2^1477219968 is an apocalyptic number.

1477219968 is a gapful number since it is divisible by the number (18) 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 1477219968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2495213760).

1477219968 is an abundant number, since it is smaller than the sum of its proper divisors (3513207552).

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

1477219968 is a wasteful number, since it uses less digits than its factorization.

1477219968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5015 (or 5000 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The square root of 1477219968 is about 38434.6193944990. The cubic root of 1477219968 is about 1138.8898518676.

It can be divided in two parts, 1477 and 219968, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 1477219968 in words is "one billion, four hundred seventy-seven million, two hundred nineteen thousand, nine hundred sixty-eight".