61973251200 has 768 divisors, whose sum is σ = 265344921600. Its totient is φ = 13830082560.

The previous prime is 61973251147. The next prime is 61973251229. The reversal of 61973251200 is 215237916.

61973251200 is a `hidden beast` number, since 619 + 7 + 3 + 25 + 12 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 26005209 + ... + 26007591.

It is an arithmetic number, because the mean of its divisors is an integer number (345501200).

Almost surely, 2^61973251200 is an apocalyptic number.

61973251200 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 61973251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132672460800).

61973251200 is an abundant number, since it is smaller than the sum of its proper divisors (203371670400).

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

61973251200 is a wasteful number, since it uses less digits than its factorization.

61973251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2466 (or 2443 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 61973251200 in words is "sixty-one billion, nine hundred seventy-three million, two hundred fifty-one thousand, two hundred".