142764242632704 has 2160 divisors, whose sum is σ = 548972213790000. Its totient is φ = 37081621463040.

The previous prime is 142764242632691. The next prime is 142764242632709. The reversal of 142764242632704 is 407236242467241.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

142764242632704 is a `hidden beast` number, since 1 + 4 + 2 + 76 + 4 + 242 + 6 + 327 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142764242632709) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12978567512059 + ... + 12978567512069.

Almost surely, 2^{142764242632704} is an apocalyptic number.

142764242632704 is a gapful number since it is divisible by the number (14) 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 142764242632704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274486106895000).

142764242632704 is an abundant number, since it is smaller than the sum of its proper divisors (406207971157296).

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

142764242632704 is an frugal number, since it uses more digits than its factorization.

142764242632704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 54.

The spelling of 142764242632704 in words is "one hundred forty-two trillion, seven hundred sixty-four billion, two hundred forty-two million, six hundred thirty-two thousand, seven hundred four".