61034842400 has 288 divisors, whose sum is σ = 181063911168. Its totient is φ = 19636531200.

The previous prime is 61034842397. The next prime is 61034842439. The reversal of 61034842400 is 424843016.

61034842400 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 (32).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6821930 + ... + 6830870.

It is an arithmetic number, because the mean of its divisors is an integer number (628694136).

Almost surely, 2^61034842400 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 61034842400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90531955584).

61034842400 is an abundant number, since it is smaller than the sum of its proper divisors (120029068768).

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

61034842400 is a wasteful number, since it uses less digits than its factorization.

61034842400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9044 (or 9031 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The spelling of 61034842400 in words is "sixty-one billion, thirty-four million, eight hundred forty-two thousand, four hundred".