61798464000 has 1600 divisors, whose sum is σ = 285481228032. Its totient is φ = 12939264000.

The previous prime is 61798463989. The next prime is 61798464029. The reversal of 61798464000 is 46489716.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 12.

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

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 159 ways as a sum of consecutive naturals, for example, 471743935 + ... + 471744065.

Almost surely, 2^61798464000 is an apocalyptic number.

61798464000 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 61798464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142740614016).

61798464000 is an abundant number, since it is smaller than the sum of its proper divisors (223682764032).

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

61798464000 is a wasteful number, since it uses less digits than its factorization.

61798464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61798464000 in words is "sixty-one billion, seven hundred ninety-eight million, four hundred sixty-four thousand".