5742807662592 has 2160 divisors, whose sum is σ = 23452095803136. Its totient is φ = 1366386278400.

The previous prime is 5742807662569. The next prime is 5742807662593. The reversal of 5742807662592 is 2952667082475.

5742807662592 is a `hidden beast` number, since 57 + 428 + 0 + 76 + 6 + 2 + 5 + 92 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (5742807662593) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 43838226367 + ... + 43838226497.

Almost surely, 2^{5742807662592} is an apocalyptic number.

5742807662592 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 5742807662592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11726047901568).

5742807662592 is an abundant number, since it is smaller than the sum of its proper divisors (17709288140544).

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

5742807662592 is a wasteful number, since it uses less digits than its factorization.

5742807662592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 101606400, while the sum is 63.

The spelling of 5742807662592 in words is "five trillion, seven hundred forty-two billion, eight hundred seven million, six hundred sixty-two thousand, five hundred ninety-two".