61609468536 has 256 divisors, whose sum is σ = 213687936000. Its totient is φ = 15978332160.

The previous prime is 61609468493. The next prime is 61609468549. The reversal of 61609468536 is 63586490616.

61609468536 is a `hidden beast` number, since 6 + 1 + 60 + 9 + 46 + 8 + 536 = 666.

61609468536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×61609468536² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

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, 12787600 + ... + 12792416.

It is an arithmetic number, because the mean of its divisors is an integer number (834718500).

Almost surely, 2^61609468536 is an apocalyptic number.

61609468536 is a gapful number since it is divisible by the number (66) 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 61609468536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106843968000).

61609468536 is an abundant number, since it is smaller than the sum of its proper divisors (152078467464).

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

61609468536 is a wasteful number, since it uses less digits than its factorization.

61609468536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5619 (or 5609 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 61609468536 in words is "sixty-one billion, six hundred nine million, four hundred sixty-eight thousand, five hundred thirty-six".