4917597884640 has 1152 divisors, whose sum is σ = 20285595832320. Its totient is φ = 1060594089984.

The previous prime is 4917597884611. The next prime is 4917597884657. The reversal of 4917597884640 is 464887957194.

4917597884640 is a `hidden beast` number, since 4 + 9 + 1 + 75 + 97 + 8 + 8 + 464 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6078612556 + ... + 6078613364.

It is an arithmetic number, because the mean of its divisors is an integer number (17609024160).

Almost surely, 2^{4917597884640} is an apocalyptic number.

4917597884640 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 4917597884640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10142797916160).

4917597884640 is an abundant number, since it is smaller than the sum of its proper divisors (15367997947680).

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

4917597884640 is a wasteful number, since it uses less digits than its factorization.

4917597884640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1184 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 72.

The spelling of 4917597884640 in words is "four trillion, nine hundred seventeen billion, five hundred ninety-seven million, eight hundred eighty-four thousand, six hundred forty".