4512901680 has 240 divisors, whose sum is σ = 17357680704. Its totient is φ = 1029335040.

The previous prime is 4512901567. The next prime is 4512901697. The reversal of 4512901680 is 861092154.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 4419570 + ... + 4420590.

Almost surely, 2^4512901680 is an apocalyptic number.

4512901680 is a gapful number since it is divisible by the number (40) 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 4512901680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678840352).

4512901680 is an abundant number, since it is smaller than the sum of its proper divisors (12844779024).

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

4512901680 is a wasteful number, since it uses less digits than its factorization.

4512901680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1924 (or 1915 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 4512901680 is about 67178.1339425263. The cubic root of 4512901680 is about 1652.5399118959.

The spelling of 4512901680 in words is "four billion, five hundred twelve million, nine hundred one thousand, six hundred eighty".