61398366400 has 168 divisors, whose sum is σ = 173225984256. Its totient is φ = 20981990400.

The previous prime is 61398366397. The next prime is 61398366413. The reversal of 61398366400 is 466389316.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3474387 + ... + 3492013.

Almost surely, 2^61398366400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61398366400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86612992128).

61398366400 is an abundant number, since it is smaller than the sum of its proper divisors (111827617856).

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

61398366400 is a wasteful number, since it uses less digits than its factorization.

61398366400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17967 (or 17952 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 61398366400 in words is "sixty-one billion, three hundred ninety-eight million, three hundred sixty-six thousand, four hundred".