4613764217440 has 96 divisors (see below), whose sum is σ = 12521708861760. Its totient is φ = 1573665767424.

The previous prime is 4613764217383. The next prime is 4613764217441. The reversal of 4613764217440 is 447124673164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4613764217441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10455945 + ... + 10888264.

It is an arithmetic number, because the mean of its divisors is an integer number (130434467310).

Almost surely, 2^{4613764217440} is an apocalyptic number.

4613764217440 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4613764217440 is an abundant number, since it is smaller than the sum of its proper divisors (7907944644320).

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

4613764217440 is a wasteful number, since it uses less digits than its factorization.

4613764217440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21344424 (or 21344416 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 49.

It can be divided in two parts, 4613764 and 217440, that added together give a square (4831204 = 2198²).

The spelling of 4613764217440 in words is "four trillion, six hundred thirteen billion, seven hundred sixty-four million, two hundred seventeen thousand, four hundred forty".