4607715840 has 640 divisors, whose sum is σ = 19138775040. Its totient is φ = 918355968.

The previous prime is 4607715839. The next prime is 4607715841. The reversal of 4607715840 is 485177064.

It is an interprime number because it is at equal distance from previous prime (4607715839) and next prime (4607715841).

It is a tau number, because it is divible by the number of its divisors (640).

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 = 4607715792 and 4607715801.

It is not an unprimeable number, because it can be changed into a prime (4607715841) 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, 13278547 + ... + 13278893.

It is an arithmetic number, because the mean of its divisors is an integer number (29904336).

Almost surely, 2^4607715840 is an apocalyptic number.

4607715840 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 4607715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9569387520).

4607715840 is an abundant number, since it is smaller than the sum of its proper divisors (14531059200).

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

4607715840 is a wasteful number, since it uses less digits than its factorization.

4607715840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 42.

The square root of 4607715840 is about 67880.1579255676. The cubic root of 4607715840 is about 1664.0328519155.

The spelling of 4607715840 in words is "four billion, six hundred seven million, seven hundred fifteen thousand, eight hundred forty".