61383722400 has 2304 divisors, whose sum is σ = 317499678720. Its totient is φ = 11014963200.

The previous prime is 61383722381. The next prime is 61383722423. The reversal of 61383722400 is 422738316.

It is a happy number.

61383722400 is a `hidden beast` number, since 613 + 8 + 37 + 2 + 2 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×61383722400² (a number of 22 digits) contains 22 as substring.

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 383 ways as a sum of consecutive naturals, for example, 367567117 + ... + 367567283.

It is an arithmetic number, because the mean of its divisors is an integer number (137803680).

Almost surely, 2^61383722400 is an apocalyptic number.

61383722400 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 61383722400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158749839360).

61383722400 is an abundant number, since it is smaller than the sum of its proper divisors (256115956320).

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

61383722400 is a wasteful number, since it uses less digits than its factorization.

61383722400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 61383722400 in words is "sixty-one billion, three hundred eighty-three million, seven hundred twenty-two thousand, four hundred".