5417987984640 has 648 divisors, whose sum is σ = 23788600643808. Its totient is φ = 1125814394880.

The previous prime is 5417987984603. The next prime is 5417987984663. The reversal of 5417987984640 is 464897897145.

5417987984640 is a `hidden beast` number, since 5 + 4 + 1 + 7 + 98 + 79 + 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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5772999 + ... + 6645561.

Almost surely, 2^{5417987984640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5417987984640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11894300321904).

5417987984640 is an abundant number, since it is smaller than the sum of its proper divisors (18370612659168).

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

5417987984640 is a wasteful number, since it uses less digits than its factorization.

5417987984640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872615 (or 872591 counting only the distinct ones).

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

The spelling of 5417987984640 in words is "five trillion, four hundred seventeen billion, nine hundred eighty-seven million, nine hundred eighty-four thousand, six hundred forty".