61642968710400 has 1944 divisors, whose sum is σ = 289024499373120. Its totient is φ = 12808715673600.

The previous prime is 61642968710377. The next prime is 61642968710417. The reversal of 61642968710400 is 401786924616.

61642968710400 is a `hidden beast` number, since 6 + 1 + 64 + 2 + 96 + 87 + 10 + 400 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 215 ways as a sum of consecutive naturals, for example, 1024501117 + ... + 1024561283.

Almost surely, 2^{61642968710400} is an apocalyptic number.

61642968710400 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 61642968710400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144512249686560).

61642968710400 is an abundant number, since it is smaller than the sum of its proper divisors (227381530662720).

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

61642968710400 is a wasteful number, since it uses less digits than its factorization.

61642968710400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60238 (or 60195 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 61642968710400 in words is "sixty-one trillion, six hundred forty-two billion, nine hundred sixty-eight million, seven hundred ten thousand, four hundred".