4672071360 has 672 divisors, whose sum is σ = 18728740800. Its totient is φ = 1094860800.

The previous prime is 4672071343. The next prime is 4672071373. The reversal of 4672071360 is 631702764.

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 95 ways as a sum of consecutive naturals, for example, 42862986 + ... + 42863094.

It is an arithmetic number, because the mean of its divisors is an integer number (27870150).

Almost surely, 2^4672071360 is an apocalyptic number.

4672071360 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 4672071360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9364370400).

4672071360 is an abundant number, since it is smaller than the sum of its proper divisors (14056669440).

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

4672071360 is a wasteful number, since it uses less digits than its factorization.

4672071360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The square root of 4672071360 is about 68352.5519640635. The cubic root of 4672071360 is about 1671.7441898575.

The spelling of 4672071360 in words is "four billion, six hundred seventy-two million, seventy-one thousand, three hundred sixty".