61038432000 has 1728 divisors, whose sum is σ = 288309176064. Its totient is φ = 12032409600.

The previous prime is 61038431957. The next prime is 61038432001. The reversal of 61038432000 is 23483016.

It is a happy number.

61038432000 is a `hidden beast` number, since 610 + 3 + 8 + 43 + 2 + 0 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61038432001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 445535932 + ... + 445536068.

It is an arithmetic number, because the mean of its divisors is an integer number (166845588).

Almost surely, 2^61038432000 is an apocalyptic number.

61038432000 is a gapful number since it is divisible by the number (60) 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 61038432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144154588032).

61038432000 is an abundant number, since it is smaller than the sum of its proper divisors (227270744064).

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

61038432000 is a wasteful number, since it uses less digits than its factorization.

61038432000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 61038432000 in words is "sixty-one billion, thirty-eight million, four hundred thirty-two thousand".