61864529328 has 320 divisors, whose sum is σ = 213093504000. Its totient is φ = 16809762816.

The previous prime is 61864529323. The next prime is 61864529351. The reversal of 61864529328 is 82392546816.

61864529328 is a `hidden beast` number, since 6 + 1 + 86 + 4 + 529 + 32 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61864529323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5870368 + ... + 5880896.

It is an arithmetic number, because the mean of its divisors is an integer number (665917200).

Almost surely, 2^61864529328 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 61864529328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106546752000).

61864529328 is an abundant number, since it is smaller than the sum of its proper divisors (151228974672).

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

61864529328 is a wasteful number, since it uses less digits than its factorization.

61864529328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10649 (or 10637 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 61864529328 in words is "sixty-one billion, eight hundred sixty-four million, five hundred twenty-nine thousand, three hundred twenty-eight".