5766719546952 has 768 divisors, whose sum is σ = 20743250411520. Its totient is φ = 1405253836800.

The previous prime is 5766719546869. The next prime is 5766719546971. The reversal of 5766719546952 is 2596459176675.

It is a happy number.

5766719546952 is a `hidden beast` number, since 5 + 7 + 6 + 6 + 71 + 9 + 546 + 9 + 5 + 2 = 666.

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

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, 4237118752 + ... + 4237120112.

It is an arithmetic number, because the mean of its divisors is an integer number (27009440640).

Almost surely, 2^{5766719546952} is an apocalyptic number.

5766719546952 is a gapful number since it is divisible by the number (52) 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 5766719546952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10371625205760).

5766719546952 is an abundant number, since it is smaller than the sum of its proper divisors (14976530864568).

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

5766719546952 is a wasteful number, since it uses less digits than its factorization.

5766719546952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 2347 counting only the distinct ones).

The product of its digits is 857304000, while the sum is 72.

The spelling of 5766719546952 in words is "five trillion, seven hundred sixty-six billion, seven hundred nineteen million, five hundred forty-six thousand, nine hundred fifty-two".