61378300800 has 672 divisors, whose sum is σ = 230796087480. Its totient is φ = 16119336960.

The previous prime is 61378300769. The next prime is 61378300861. The reversal of 61378300800 is 800387316.

61378300800 is a `hidden beast` number, since 613 + 7 + 8 + 30 + 0 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 193622242 + ... + 193622558.

Almost surely, 2^61378300800 is an apocalyptic number.

61378300800 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 61378300800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115398043740).

61378300800 is an abundant number, since it is smaller than the sum of its proper divisors (169417786680).

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

61378300800 is an equidigital number, since it uses as much as digits as its factorization.

61378300800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 61378300800 in words is "sixty-one billion, three hundred seventy-eight million, three hundred thousand, eight hundred".