61614946800 has 360 divisors, whose sum is σ = 234056055168. Its totient is φ = 14885952000.

The previous prime is 61614946793. The next prime is 61614946837. The reversal of 61614946800 is 864941616.

61614946800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12313099 + ... + 12318101.

Almost surely, 2^61614946800 is an apocalyptic number.

61614946800 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 61614946800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117028027584).

61614946800 is an abundant number, since it is smaller than the sum of its proper divisors (172441108368).

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

61614946800 is a wasteful number, since it uses less digits than its factorization.

61614946800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5349 (or 5335 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 61614946800 in words is "sixty-one billion, six hundred fourteen million, nine hundred forty-six thousand, eight hundred".