61323625800 has 336 divisors, whose sum is σ = 223074829440. Its totient is φ = 15641112960.

The previous prime is 61323625789. The next prime is 61323625829. The reversal of 61323625800 is 852632316.

It is a happy number.

61323625800 is a `hidden beast` number, since 6 + 1 + 3 + 23 + 625 + 8 + 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 83 ways as a sum of consecutive naturals, for example, 3344257 + ... + 3362543.

Almost surely, 2^61323625800 is an apocalyptic number.

61323625800 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 61323625800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111537414720).

61323625800 is an abundant number, since it is smaller than the sum of its proper divisors (161751203640).

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

61323625800 is a wasteful number, since it uses less digits than its factorization.

61323625800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18344 (or 18320 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 61323625800 in words is "sixty-one billion, three hundred twenty-three million, six hundred twenty-five thousand, eight hundred".