61397137296 has 320 divisors, whose sum is σ = 207095316480. Its totient is φ = 17221248000.

The previous prime is 61397137289. The next prime is 61397137297. The reversal of 61397137296 is 69273179316.

It is a happy number.

61397137296 is a `hidden beast` number, since 613 + 9 + 7 + 13 + 7 + 2 + 9 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (61397137297) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3379116 + ... + 3397236.

It is an arithmetic number, because the mean of its divisors is an integer number (647172864).

Almost surely, 2^61397137296 is an apocalyptic number.

61397137296 is a gapful number since it is divisible by the number (66) 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 61397137296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103547658240).

61397137296 is an abundant number, since it is smaller than the sum of its proper divisors (145698179184).

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

61397137296 is a wasteful number, since it uses less digits than its factorization.

61397137296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18203 (or 18191 counting only the distinct ones).

The product of its digits is 2571912, while the sum is 54.

The spelling of 61397137296 in words is "sixty-one billion, three hundred ninety-seven million, one hundred thirty-seven thousand, two hundred ninety-six".