61474339200 has 768 divisors, whose sum is σ = 229485312000. Its totient is φ = 14381875200.

The previous prime is 61474339163. The next prime is 61474339219. The reversal of 61474339200 is 293347416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 146716591 + ... + 146717009.

It is an arithmetic number, because the mean of its divisors is an integer number (298809000).

Almost surely, 2^61474339200 is an apocalyptic number.

61474339200 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 61474339200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114742656000).

61474339200 is an abundant number, since it is smaller than the sum of its proper divisors (168010972800).

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

61474339200 is a wasteful number, since it uses less digits than its factorization.

61474339200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The spelling of 61474339200 in words is "sixty-one billion, four hundred seventy-four million, three hundred thirty-nine thousand, two hundred".