4641629760 has 336 divisors, whose sum is σ = 16638276096. Its totient is φ = 1186738176.

The previous prime is 4641629749. The next prime is 4641629767. The reversal of 4641629760 is 679261464.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (4641629767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7173757 + ... + 7174403.

Almost surely, 2^4641629760 is an apocalyptic number.

4641629760 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 4641629760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8319138048).

4641629760 is an abundant number, since it is smaller than the sum of its proper divisors (11996646336).

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

4641629760 is a wasteful number, since it uses less digits than its factorization.

4641629760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 770 (or 757 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 4641629760 is about 68129.5072637400. The cubic root of 4641629760 is about 1668.1054399126.

It can be divided in two parts, 46416 and 29760, that added together give a square (76176 = 276²).

The spelling of 4641629760 in words is "four billion, six hundred forty-one million, six hundred twenty-nine thousand, seven hundred sixty".