4640717540160 has 336 divisors, whose sum is σ = 17397111199104. Its totient is φ = 1128566697984.

The previous prime is 4640717540093. The next prime is 4640717540209. The reversal of 4640717540160 is 610457170464.

4640717540160 is a `hidden beast` number, since 4 + 6 + 40 + 7 + 1 + 7 + 540 + 1 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2360829 + ... + 3854211.

It is an arithmetic number, because the mean of its divisors is an integer number (51777116664).

Almost surely, 2^{4640717540160} is an apocalyptic number.

4640717540160 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 4640717540160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698555599552).

4640717540160 is an abundant number, since it is smaller than the sum of its proper divisors (12756393658944).

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

4640717540160 is a wasteful number, since it uses less digits than its factorization.

4640717540160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1493502 (or 1493489 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 4640717540160 in words is "four trillion, six hundred forty billion, seven hundred seventeen million, five hundred forty thousand, one hundred sixty".