61605937152 has 224 divisors, whose sum is σ = 193273527600. Its totient is φ = 19327352832.

The previous prime is 61605937123. The next prime is 61605937201. The reversal of 61605937152 is 25173950616.

61605937152 is a `hidden beast` number, since 6 + 1 + 6 + 0 + 593 + 7 + 1 + 52 = 666.

It is a super-2 number, since 2×61605937152² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 61605937098 and 61605937107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3623878648 + ... + 3623878664.

Almost surely, 2^61605937152 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 61605937152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96636763800).

61605937152 is an abundant number, since it is smaller than the sum of its proper divisors (131667590448).

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

61605937152 is an frugal number, since it uses more digits than its factorization.

61605937152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 22 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 61605937152 in words is "sixty-one billion, six hundred five million, nine hundred thirty-seven thousand, one hundred fifty-two".