611352742000 has 1920 divisors, whose sum is σ = 2240640589824. Its totient is φ = 156119040000.

The previous prime is 611352741953. The next prime is 611352742061. The reversal of 611352742000 is 247253116.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 8610601965 + ... + 8610602035.

Almost surely, 2^611352742000 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 611352742000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1120320294912).

611352742000 is an abundant number, since it is smaller than the sum of its proper divisors (1629287847824).

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

611352742000 is a wasteful number, since it uses less digits than its factorization.

611352742000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 611352742000 its reverse (247253116), we get a palindrome (611599995116).

The spelling of 611352742000 in words is "six hundred eleven billion, three hundred fifty-two million, seven hundred forty-two thousand".