5977942466496 has 896 divisors, whose sum is σ = 22137572696064. Its totient is φ = 1373612359680.

The previous prime is 5977942466399. The next prime is 5977942466519. The reversal of 5977942466496 is 6946642497795.

It is a super-2 number, since 2×5977942466496² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (78).

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 127 ways as a sum of consecutive naturals, for example, 476437695 + ... + 476450241.

It is an arithmetic number, because the mean of its divisors is an integer number (24707112384).

Almost surely, 2^{5977942466496} is an apocalyptic number.

5977942466496 is a gapful number since it is divisible by the number (56) 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 5977942466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11068786348032).

5977942466496 is an abundant number, since it is smaller than the sum of its proper divisors (16159630229568).

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

5977942466496 is a wasteful number, since it uses less digits than its factorization.

5977942466496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12697 (or 12687 counting only the distinct ones).

The product of its digits is 4938071040, while the sum is 78.

The spelling of 5977942466496 in words is "five trillion, nine hundred seventy-seven billion, nine hundred forty-two million, four hundred sixty-six thousand, four hundred ninety-six".