1672646976 has 448 divisors, whose sum is σ = 6609039360. Its totient is φ = 400619520.

The previous prime is 1672646953. The next prime is 1672646993. The reversal of 1672646976 is 6796462761.

It is a tau number, because it is divible by the number of its divisors (448).

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

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1729245 + ... + 1730211.

It is an arithmetic number, because the mean of its divisors is an integer number (14752320).

Almost surely, 2^1672646976 is an apocalyptic number.

1672646976 is a gapful number since it is divisible by the number (16) 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 1672646976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3304519680).

1672646976 is an abundant number, since it is smaller than the sum of its proper divisors (4936392384).

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

1672646976 is a wasteful number, since it uses less digits than its factorization.

1672646976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019 (or 1003 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 1672646976 is about 40898.0069930064. The cubic root of 1672646976 is about 1187.0474968970.

The spelling of 1672646976 in words is "one billion, six hundred seventy-two million, six hundred forty-six thousand, nine hundred seventy-six".