61243627200 has 1344 divisors, whose sum is σ = 260756643840. Its totient is φ = 12262440960.

The previous prime is 61243627183. The next prime is 61243627201. The reversal of 61243627200 is 272634216.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×61243627200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (61243627201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 631377552 + ... + 631377648.

It is an arithmetic number, because the mean of its divisors is an integer number (194015360).

Almost surely, 2^61243627200 is an apocalyptic number.

61243627200 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 61243627200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130378321920).

61243627200 is an abundant number, since it is smaller than the sum of its proper divisors (199513016640).

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

61243627200 is a wasteful number, since it uses less digits than its factorization.

61243627200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The spelling of 61243627200 in words is "sixty-one billion, two hundred forty-three million, six hundred twenty-seven thousand, two hundred".