61488979200 has 1080 divisors, whose sum is σ = 255036551616. Its totient is φ = 14487552000.

The previous prime is 61488979187. The next prime is 61488979249. The reversal of 61488979200 is 297988416.

It is a tau number, because it is divible by the number of its divisors (1080).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 233798269 + ... + 233798531.

Almost surely, 2^61488979200 is an apocalyptic number.

61488979200 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 61488979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127518275808).

61488979200 is an abundant number, since it is smaller than the sum of its proper divisors (193547572416).

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

61488979200 is a wasteful number, since it uses less digits than its factorization.

61488979200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 353 (or 325 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

The spelling of 61488979200 in words is "sixty-one billion, four hundred eighty-eight million, nine hundred seventy-nine thousand, two hundred".