61038633600 has 1152 divisors, whose sum is σ = 262420704000. Its totient is φ = 13493329920.

The previous prime is 61038633571. The next prime is 61038633631. The reversal of 61038633600 is 633683016.

61038633600 is a `hidden beast` number, since 6 + 10 + 3 + 8 + 6 + 33 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 365500717 + ... + 365500883.

It is an arithmetic number, because the mean of its divisors is an integer number (227795750).

Almost surely, 2^61038633600 is an apocalyptic number.

61038633600 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 61038633600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131210352000).

61038633600 is an abundant number, since it is smaller than the sum of its proper divisors (201382070400).

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

61038633600 is a wasteful number, since it uses less digits than its factorization.

61038633600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 61038633600 in words is "sixty-one billion, thirty-eight million, six hundred thirty-three thousand, six hundred".