61465604400 has 360 divisors, whose sum is σ = 221362967280. Its totient is φ = 15775119360.

The previous prime is 61465604351. The next prime is 61465604411. The reversal of 61465604400 is 440656416.

61465604400 is a `hidden beast` number, since 6 + 1 + 4 + 6 + 5 + 604 + 40 + 0 = 666.

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 41446059 + ... + 41447541.

Almost surely, 2^61465604400 is an apocalyptic number.

61465604400 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 61465604400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110681483640).

61465604400 is an abundant number, since it is smaller than the sum of its proper divisors (159897362880).

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

61465604400 is a wasteful number, since it uses less digits than its factorization.

61465604400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1933 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 61465604400 in words is "sixty-one billion, four hundred sixty-five million, six hundred four thousand, four hundred".