61007014800 has 360 divisors, whose sum is σ = 216178872000. Its totient is φ = 15927598080.

The previous prime is 61007014799. The next prime is 61007014829. The reversal of 61007014800 is 841070016.

It is a happy number.

61007014800 is a `hidden beast` number, since 610 + 0 + 7 + 0 + 1 + 48 + 0 + 0 = 666.

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

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, 74127189 + ... + 74128011.

Almost surely, 2^61007014800 is an apocalyptic number.

61007014800 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 61007014800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108089436000).

61007014800 is an abundant number, since it is smaller than the sum of its proper divisors (155171857200).

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

61007014800 is a wasteful number, since it uses less digits than its factorization.

61007014800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1241 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

Adding to 61007014800 its reverse (841070016), we get a palindrome (61848084816).

The spelling of 61007014800 in words is "sixty-one billion, seven million, fourteen thousand, eight hundred".