7142689709064 has 384 divisors, whose sum is σ = 24402137760000. Its totient is φ = 1875468542976.

The previous prime is 7142689708993. The next prime is 7142689709093. The reversal of 7142689709064 is 4609079862417.

7142689709064 is a `hidden beast` number, since 7 + 1 + 426 + 89 + 70 + 9 + 0 + 64 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 7142689708992 and 7142689709010.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 72828892 + ... + 72926900.

It is an arithmetic number, because the mean of its divisors is an integer number (63547233750).

Almost surely, 2^{7142689709064} 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 7142689709064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12201068880000).

7142689709064 is an abundant number, since it is smaller than the sum of its proper divisors (17259448050936).

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

7142689709064 is a wasteful number, since it uses less digits than its factorization.

7142689709064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98282 (or 98261 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 7142689709064 in words is "seven trillion, one hundred forty-two billion, six hundred eighty-nine million, seven hundred nine thousand, sixty-four".