542769776640 has 2688 divisors, whose sum is σ = 2598705607680. Its totient is φ = 105488842752.

The previous prime is 542769776621. The next prime is 542769776683. The reversal of 542769776640 is 46677967245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2688).

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

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 11548293097 + ... + 11548293143.

It is an arithmetic number, because the mean of its divisors is an integer number (966780360).

Almost surely, 2^542769776640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542769776640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1299352803840).

542769776640 is an abundant number, since it is smaller than the sum of its proper divisors (2055935831040).

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

542769776640 is a wasteful number, since it uses less digits than its factorization.

542769776640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 542769776640 in words is "five hundred forty-two billion, seven hundred sixty-nine million, seven hundred seventy-six thousand, six hundred forty".