61482542400 has 672 divisors, whose sum is σ = 231850874880. Its totient is φ = 15840368640.

The previous prime is 61482542333. The next prime is 61482542413. The reversal of 61482542400 is 424528416.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 217252659 + ... + 217252941.

Almost surely, 2^61482542400 is an apocalyptic number.

61482542400 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 61482542400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115925437440).

61482542400 is an abundant number, since it is smaller than the sum of its proper divisors (170368332480).

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

61482542400 is a wasteful number, since it uses less digits than its factorization.

61482542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 36.

The spelling of 61482542400 in words is "sixty-one billion, four hundred eighty-two million, five hundred forty-two thousand, four hundred".