1671072480 has 432 divisors, whose sum is σ = 7239973104. Its totient is φ = 347074560.

The previous prime is 1671072479. The next prime is 1671072497. The reversal of 1671072480 is 842701761.

1671072480 is a `hidden beast` number, since 167 + 10 + 7 + 2 + 480 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 775084 + ... + 777236.

It is an arithmetic number, because the mean of its divisors is an integer number (16759197).

Almost surely, 2^1671072480 is an apocalyptic number.

1671072480 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 1671072480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3619986552).

1671072480 is an abundant number, since it is smaller than the sum of its proper divisors (5568900624).

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

1671072480 is a wasteful number, since it uses less digits than its factorization.

1671072480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 1671072480 is about 40878.7534056507. The cubic root of 1671072480 is about 1186.6749161289.

The spelling of 1671072480 in words is "one billion, six hundred seventy-one million, seventy-two thousand, four hundred eighty".