61397241984 has 384 divisors, whose sum is σ = 196000197120. Its totient is φ = 18330624000.

The previous prime is 61397241947. The next prime is 61397242001. The reversal of 61397241984 is 48914279316.

61397241984 is a `hidden beast` number, since 6 + 1 + 397 + 241 + 9 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×61397241984³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61397241984.

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, 81753609 + ... + 81754359.

It is an arithmetic number, because the mean of its divisors is an integer number (510417180).

Almost surely, 2^61397241984 is an apocalyptic number.

61397241984 is a gapful number since it is divisible by the number (64) 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 61397241984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98000098560).

61397241984 is an abundant number, since it is smaller than the sum of its proper divisors (134602955136).

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

61397241984 is a wasteful number, since it uses less digits than its factorization.

61397241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 940 (or 925 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 61397241984 in words is "sixty-one billion, three hundred ninety-seven million, two hundred forty-one thousand, nine hundred eighty-four".