61736615140200 has 768 divisors, whose sum is σ = 265251662807040. Its totient is φ = 11459598336000.

The previous prime is 61736615140181. The next prime is 61736615140301. The reversal of 61736615140200 is 204151663716.

It is a super-2 number, since 2×61736615140200² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 16960672 + ... + 20276528.

It is an arithmetic number, because the mean of its divisors is an integer number (345379769280).

Almost surely, 2^{61736615140200} is an apocalyptic number.

61736615140200 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 61736615140200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132625831403520).

61736615140200 is an abundant number, since it is smaller than the sum of its proper divisors (203515047666840).

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

61736615140200 is a wasteful number, since it uses less digits than its factorization.

61736615140200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3315938 (or 3315929 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The spelling of 61736615140200 in words is "sixty-one trillion, seven hundred thirty-six billion, six hundred fifteen million, one hundred forty thousand, two hundred".