61078420224 has 576 divisors, whose sum is σ = 201836006400. Its totient is φ = 18130894848.

The previous prime is 61078420217. The next prime is 61078420229. The reversal of 61078420224 is 42202487016.

61078420224 is a `hidden beast` number, since 6 + 1 + 0 + 7 + 8 + 420 + 224 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (61078420229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 220499574 + ... + 220499850.

Almost surely, 2^61078420224 is an apocalyptic number.

61078420224 is a gapful number since it is divisible by the number (64) 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 61078420224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100918003200).

61078420224 is an abundant number, since it is smaller than the sum of its proper divisors (140757586176).

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

61078420224 is a wasteful number, since it uses less digits than its factorization.

61078420224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The spelling of 61078420224 in words is "sixty-one billion, seventy-eight million, four hundred twenty thousand, two hundred twenty-four".