5742456678000 has 960 divisors, whose sum is σ = 24906752532480. Its totient is φ = 1203351552000.

The previous prime is 5742456677999. The next prime is 5742456678041. The reversal of 5742456678000 is 8766542475.

It is a happy number.

5742456678000 is a `hidden beast` number, since 5 + 7 + 4 + 2 + 4 + 566 + 78 + 0 + 0 + 0 = 666.

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, 74175312 + ... + 74252688.

It is an arithmetic number, because the mean of its divisors is an integer number (25944533888).

Almost surely, 2^{5742456678000} is an apocalyptic number.

5742456678000 is a gapful number since it is divisible by the number (50) 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 5742456678000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12453376266240).

5742456678000 is an abundant number, since it is smaller than the sum of its proper divisors (19164295854480).

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

5742456678000 is a wasteful number, since it uses less digits than its factorization.

5742456678000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77463 (or 77444 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 5742456678000 in words is "five trillion, seven hundred forty-two billion, four hundred fifty-six million, six hundred seventy-eight thousand".