1476111672 has 288 divisors, whose sum is σ = 4989301200. Its totient is φ = 392999040.

The previous prime is 1476111661. The next prime is 1476111677. The reversal of 1476111672 is 2761116741.

1476111672 is a `hidden beast` number, since 1 + 476 + 1 + 116 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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

Its product of digits (14112) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1476111677) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 24198522 + ... + 24198582.

Almost surely, 2^1476111672 is an apocalyptic number.

1476111672 is a gapful number since it is divisible by the number (12) 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 1476111672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2494650600).

1476111672 is an abundant number, since it is smaller than the sum of its proper divisors (3513189528).

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

1476111672 is a wasteful number, since it uses less digits than its factorization.

1476111672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 92 counting only the distinct ones).

The product of its digits is 14112, while the sum is 36.

The square root of 1476111672 is about 38420.1987501366. The cubic root of 1476111672 is about 1138.6049602262.

The spelling of 1476111672 in words is "one billion, four hundred seventy-six million, one hundred eleven thousand, six hundred seventy-two".