5468295689976 has 320 divisors, whose sum is σ = 16849453593600. Its totient is φ = 1476378511104.

The previous prime is 5468295689963. The next prime is 5468295689993. The reversal of 5468295689976 is 6799865928645.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 78506701 + ... + 78576323.

It is an arithmetic number, because the mean of its divisors is an integer number (52654542480).

Almost surely, 2^{5468295689976} is an apocalyptic number.

5468295689976 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 5468295689976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8424726796800).

5468295689976 is an abundant number, since it is smaller than the sum of its proper divisors (11381157903624).

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

5468295689976 is a wasteful number, since it uses less digits than its factorization.

5468295689976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69736 (or 69711 counting only the distinct ones).

The product of its digits is 14108774400, while the sum is 84.

The spelling of 5468295689976 in words is "five trillion, four hundred sixty-eight billion, two hundred ninety-five million, six hundred eighty-nine thousand, nine hundred seventy-six".