61632453600 has 216 divisors, whose sum is σ = 221956731360. Its totient is φ = 16085544960.

The previous prime is 61632453587. The next prime is 61632453629. The reversal of 61632453600 is 635423616.

61632453600 is a `hidden beast` number, since 6 + 1 + 6 + 3 + 2 + 45 + 3 + 600 = 666.

61632453600 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 35 ways as a sum of consecutive naturals, for example, 247336 + ... + 429464.

It is an arithmetic number, because the mean of its divisors is an integer number (1027577460).

Almost surely, 2^61632453600 is an apocalyptic number.

61632453600 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 61632453600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110978365680).

61632453600 is an abundant number, since it is smaller than the sum of its proper divisors (160324277760).

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

61632453600 is a wasteful number, since it uses less digits than its factorization.

61632453600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182202 (or 182186 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The spelling of 61632453600 in words is "sixty-one billion, six hundred thirty-two million, four hundred fifty-three thousand, six hundred".