4651719840 has 336 divisors, whose sum is σ = 17352468000. Its totient is φ = 1174611456.

The previous prime is 4651719829. The next prime is 4651719841. The reversal of 4651719840 is 489171564.

4651719840 is a `hidden beast` number, since 4 + 6 + 517 + 1 + 98 + 40 = 666.

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 (4651719841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 2215111 + ... + 2217209.

It is an arithmetic number, because the mean of its divisors is an integer number (51644250).

Almost surely, 2^4651719840 is an apocalyptic number.

4651719840 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 4651719840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676234000).

4651719840 is an abundant number, since it is smaller than the sum of its proper divisors (12700748160).

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

4651719840 is a wasteful number, since it uses less digits than its factorization.

4651719840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2151 (or 2128 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 4651719840 is about 68203.5177978380. The cubic root of 4651719840 is about 1669.3132869272.

The spelling of 4651719840 in words is "four billion, six hundred fifty-one million, seven hundred nineteen thousand, eight hundred forty".