61742373552 has 320 divisors, whose sum is σ = 195587481600. Its totient is φ = 18561312000.

The previous prime is 61742373523. The next prime is 61742373569. The reversal of 61742373552 is 25537324716.

61742373552 is a `hidden beast` number, since 6 + 1 + 7 + 4 + 23 + 73 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61742373498 and 61742373507.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 47384133 + ... + 47385435.

It is an arithmetic number, because the mean of its divisors is an integer number (611210880).

Almost surely, 2^61742373552 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 61742373552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97793740800).

61742373552 is an abundant number, since it is smaller than the sum of its proper divisors (133845108048).

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

61742373552 is a wasteful number, since it uses less digits than its factorization.

61742373552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1601 counting only the distinct ones).

The product of its digits is 1058400, while the sum is 45.

The spelling of 61742373552 in words is "sixty-one billion, seven hundred forty-two million, three hundred seventy-three thousand, five hundred fifty-two".