61330074624 has 792 divisors, whose sum is σ = 229684011648. Its totient is φ = 15606743040.

The previous prime is 61330074623. The next prime is 61330074629. The reversal of 61330074624 is 42647003316.

It is a happy number.

61330074624 is a `hidden beast` number, since 613 + 30 + 0 + 7 + 4 + 6 + 2 + 4 = 666.

It is a super-2 number, since 2×61330074624² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (61330074623) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 181988184 + ... + 181988520.

Almost surely, 2^61330074624 is an apocalyptic number.

61330074624 is a gapful number since it is divisible by the number (64) 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 61330074624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114842005824).

61330074624 is an abundant number, since it is smaller than the sum of its proper divisors (168353937024).

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

61330074624 is a wasteful number, since it uses less digits than its factorization.

61330074624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 421 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 61330074624 in words is "sixty-one billion, three hundred thirty million, seventy-four thousand, six hundred twenty-four".