4642597935360 has 864 divisors, whose sum is σ = 20906847964800. Its totient is φ = 964691804160.

The previous prime is 4642597935359. The next prime is 4642597935373. The reversal of 4642597935360 is 635397952464.

4642597935360 is a `hidden beast` number, since 4 + 6 + 4 + 2 + 5 + 9 + 7 + 93 + 536 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18503226 + ... + 18752454.

It is an arithmetic number, because the mean of its divisors is an integer number (24197740700).

Almost surely, 2^{4642597935360} is an apocalyptic number.

4642597935360 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 4642597935360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10453423982400).

4642597935360 is an abundant number, since it is smaller than the sum of its proper divisors (16264250029440).

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

4642597935360 is a wasteful number, since it uses less digits than its factorization.

4642597935360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249284 (or 249257 counting only the distinct ones).

The product of its (nonzero) digits is 146966400, while the sum is 63.

The spelling of 4642597935360 in words is "four trillion, six hundred forty-two billion, five hundred ninety-seven million, nine hundred thirty-five thousand, three hundred sixty".