4710800640 has 864 divisors, whose sum is σ = 20037217536. Its totient is φ = 920125440.

The previous prime is 4710800621. The next prime is 4710800671. The reversal of 4710800640 is 460080174.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4710800598 and 4710800607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77226210 + ... + 77226270.

It is an arithmetic number, because the mean of its divisors is an integer number (23191224).

Almost surely, 2^4710800640 is an apocalyptic number.

4710800640 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 4710800640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10018608768).

4710800640 is an abundant number, since it is smaller than the sum of its proper divisors (15326416896).

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

4710800640 is a wasteful number, since it uses less digits than its factorization.

4710800640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 4710800640 is about 68635.2725644766. The cubic root of 4710800640 is about 1676.3508093548.

The spelling of 4710800640 in words is "four billion, seven hundred ten million, eight hundred thousand, six hundred forty".