61808976000 has 1152 divisors, whose sum is σ = 248258228400. Its totient is φ = 14708736000.

The previous prime is 61808975983. The next prime is 61808976001. The reversal of 61808976000 is 67980816.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 499254336 + 61309721664 = 22344^2 + 247608^2 .

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (61808976001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1507535980 + ... + 1507536020.

Almost surely, 2^61808976000 is an apocalyptic number.

61808976000 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 61808976000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124129114200).

61808976000 is an abundant number, since it is smaller than the sum of its proper divisors (186449252400).

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

61808976000 is a wasteful number, since it uses less digits than its factorization.

61808976000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 61808976000 in words is "sixty-one billion, eight hundred eight million, nine hundred seventy-six thousand".