61430764800 has 324 divisors, whose sum is σ = 215380825856. Its totient is φ = 15416524800.

The previous prime is 61430764789. The next prime is 61430764841. The reversal of 61430764800 is 846703416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5543265 + ... + 5554335.

Almost surely, 2^61430764800 is an apocalyptic number.

61430764800 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 61430764800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107690412928).

61430764800 is an abundant number, since it is smaller than the sum of its proper divisors (153950061056).

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

61430764800 is a wasteful number, since it uses less digits than its factorization.

61430764800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11134 (or 11098 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 61430764800 in words is "sixty-one billion, four hundred thirty million, seven hundred sixty-four thousand, eight hundred".