4616694512640 has 792 divisors, whose sum is σ = 19209000051072. Its totient is φ = 1021188833280.

The previous prime is 4616694512627. The next prime is 4616694512659. The reversal of 4616694512640 is 462154966164.

4616694512640 is a `hidden beast` number, since 4 + 6 + 1 + 6 + 69 + 4 + 512 + 64 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 69962542 + ... + 70028498.

Almost surely, 2^{4616694512640} is an apocalyptic number.

4616694512640 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 4616694512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9604500025536).

4616694512640 is an abundant number, since it is smaller than the sum of its proper divisors (14592305538432).

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

4616694512640 is a wasteful number, since it uses less digits than its factorization.

4616694512640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66033 (or 66005 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 4616694512640 in words is "four trillion, six hundred sixteen billion, six hundred ninety-four million, five hundred twelve thousand, six hundred forty".