4653680640 has 768 divisors, whose sum is σ = 19247155200. Its totient is φ = 934281216.

The previous prime is 4653680593. The next prime is 4653680641. The reversal of 4653680640 is 460863564.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-2 number, since 2×4653680640² = 43313486998221619200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4653680592 and 4653680601.

It is not an unprimeable number, because it can be changed into a prime (4653680641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69457887 + ... + 69457953.

It is an arithmetic number, because the mean of its divisors is an integer number (25061400).

Almost surely, 2^4653680640 is an apocalyptic number.

4653680640 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 4653680640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9623577600).

4653680640 is an abundant number, since it is smaller than the sum of its proper divisors (14593474560).

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

4653680640 is a wasteful number, since it uses less digits than its factorization.

4653680640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 42.

The square root of 4653680640 is about 68217.8909084706. The cubic root of 4653680640 is about 1669.5478044681.

The spelling of 4653680640 in words is "four billion, six hundred fifty-three million, six hundred eighty thousand, six hundred forty".