61397424900 has 216 divisors, whose sum is σ = 228085748800. Its totient is φ = 14033658240.

The previous prime is 61397424889. The next prime is 61397424901. The reversal of 61397424900 is 942479316.

It is a happy number.

61397424900 is a `hidden beast` number, since 6 + 139 + 7 + 424 + 90 + 0 = 666.

It is a super-2 number, since 2×61397424900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (61397424901) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 10375 + ... + 350574.

Almost surely, 2^61397424900 is an apocalyptic number.

61397424900 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 61397424900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114042874400).

61397424900 is an abundant number, since it is smaller than the sum of its proper divisors (166688323900).

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

61397424900 is a wasteful number, since it uses less digits than its factorization.

61397424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360985 (or 360966 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 61397424900 in words is "sixty-one billion, three hundred ninety-seven million, four hundred twenty-four thousand, nine hundred".