4672995840 has 160 divisors (see below), whose sum is σ = 16599116160. Its totient is φ = 1246113792.

The previous prime is 4672995781. The next prime is 4672995851. The reversal of 4672995840 is 485992764.

4672995840 is a `hidden beast` number, since 467 + 2 + 99 + 58 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (160).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35317 + ... + 102923.

It is an arithmetic number, because the mean of its divisors is an integer number (103744476).

Almost surely, 2^4672995840 is an apocalyptic number.

4672995840 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 4672995840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8299558080).

4672995840 is an abundant number, since it is smaller than the sum of its proper divisors (11926120320).

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

4672995840 is an equidigital number, since it uses as much as digits as its factorization.

4672995840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67639 (or 67617 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The square root of 4672995840 is about 68359.3142154015. The cubic root of 4672995840 is about 1671.8544473160.

The spelling of 4672995840 in words is "four billion, six hundred seventy-two million, nine hundred ninety-five thousand, eight hundred forty".