1672332480 has 560 divisors, whose sum is σ = 7331903040. Its totient is φ = 352346112.

The previous prime is 1672332469. The next prime is 1672332511. The reversal of 1672332480 is 842332761.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (560).

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2358366 + ... + 2359074.

It is an arithmetic number, because the mean of its divisors is an integer number (13092684).

Almost surely, 2^1672332480 is an apocalyptic number.

1672332480 is a gapful number since it is divisible by the number (10) 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 1672332480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3665951520).

1672332480 is an abundant number, since it is smaller than the sum of its proper divisors (5659570560).

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

1672332480 is a wasteful number, since it uses less digits than its factorization.

1672332480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 739 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 1672332480 is about 40894.1619305250. The cubic root of 1672332480 is about 1186.9730948474.

The spelling of 1672332480 in words is "one billion, six hundred seventy-two million, three hundred thirty-two thousand, four hundred eighty".