61622078400 has 588 divisors, whose sum is σ = 237326832432. Its totient is φ = 15711252480.

The previous prime is 61622078333. The next prime is 61622078417. The reversal of 61622078400 is 487022616.

61622078400 is a `hidden beast` number, since 6 + 162 + 20 + 78 + 400 = 666.

61622078400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 26826052 + ... + 26828348.

Almost surely, 2^61622078400 is an apocalyptic number.

61622078400 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 61622078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118663416216).

61622078400 is an abundant number, since it is smaller than the sum of its proper divisors (175704754032).

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

61622078400 is a wasteful number, since it uses less digits than its factorization.

61622078400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2360 (or 2330 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 61622078400 in words is "sixty-one billion, six hundred twenty-two million, seventy-eight thousand, four hundred".