61464757200 has 1080 divisors, whose sum is σ = 258075919584. Its totient is φ = 12454041600.

The previous prime is 61464757187. The next prime is 61464757219. The reversal of 61464757200 is 275746416.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 377084319 + ... + 377084481.

Almost surely, 2^61464757200 is an apocalyptic number.

61464757200 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 61464757200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129037959792).

61464757200 is an abundant number, since it is smaller than the sum of its proper divisors (196611162384).

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

61464757200 is a wasteful number, since it uses less digits than its factorization.

61464757200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 42.

The spelling of 61464757200 in words is "sixty-one billion, four hundred sixty-four million, seven hundred fifty-seven thousand, two hundred".