4672653640704 has 704 divisors, whose sum is σ = 16143204024320. Its totient is φ = 1323967389696.

The previous prime is 4672653640583. The next prime is 4672653640783. The reversal of 4672653640704 is 4070463562764.

4672653640704 is a `hidden beast` number, since 4 + 67 + 2 + 6 + 536 + 40 + 7 + 0 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1990903659 + ... + 1990906005.

Almost surely, 2^{4672653640704} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4672653640704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8071602012160).

4672653640704 is an abundant number, since it is smaller than the sum of its proper divisors (11470550383616).

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

4672653640704 is an equidigital number, since it uses as much as digits as its factorization.

4672653640704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 2486 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 4672653640704 in words is "four trillion, six hundred seventy-two billion, six hundred fifty-three million, six hundred forty thousand, seven hundred four".