4624676760 has 256 divisors, whose sum is σ = 16104614400. Its totient is φ = 1050624000.

The previous prime is 4624676747. The next prime is 4624676767. The reversal of 4624676760 is 676764264.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4624676767) 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, 2431810 + ... + 2433710.

It is an arithmetic number, because the mean of its divisors is an integer number (62908650).

Almost surely, 2^4624676760 is an apocalyptic number.

4624676760 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 4624676760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8052307200).

4624676760 is an abundant number, since it is smaller than the sum of its proper divisors (11479937640).

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

4624676760 is a wasteful number, since it uses less digits than its factorization.

4624676760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2042 (or 2038 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The square root of 4624676760 is about 68004.9759944079. The cubic root of 4624676760 is about 1666.0721102379.

The spelling of 4624676760 in words is "four billion, six hundred twenty-four million, six hundred seventy-six thousand, seven hundred sixty".