61434828000 has 2304 divisors, whose sum is σ = 301161369600. Its totient is φ = 12018585600.

The previous prime is 61434827983. The next prime is 61434828001. The reversal of 61434828000 is 82843416.

61434828000 is a `hidden beast` number, since 61 + 43 + 482 + 80 + 0 + 0 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61434828001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1307123977 + ... + 1307124023.

It is an arithmetic number, because the mean of its divisors is an integer number (130712400).

Almost surely, 2^61434828000 is an apocalyptic number.

61434828000 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 61434828000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150580684800).

61434828000 is an abundant number, since it is smaller than the sum of its proper divisors (239726541600).

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

61434828000 is a wasteful number, since it uses less digits than its factorization.

61434828000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 61434828000 in words is "sixty-one billion, four hundred thirty-four million, eight hundred twenty-eight thousand".