61127374464 has 640 divisors, whose sum is σ = 205272144000. Its totient is φ = 17933819904.

The previous prime is 61127374463. The next prime is 61127374489. The reversal of 61127374464 is 46447372116.

61127374464 is a `hidden beast` number, since 6 + 112 + 7 + 3 + 74 + 464 = 666.

It is not an unprimeable number, because it can be changed into a prime (61127374463) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 307172637 + ... + 307172835.

It is an arithmetic number, because the mean of its divisors is an integer number (320737725).

Almost surely, 2^61127374464 is an apocalyptic number.

61127374464 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 61127374464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102636072000).

61127374464 is an abundant number, since it is smaller than the sum of its proper divisors (144144769536).

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

61127374464 is a wasteful number, since it uses less digits than its factorization.

61127374464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 313 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The spelling of 61127374464 in words is "sixty-one billion, one hundred twenty-seven million, three hundred seventy-four thousand, four hundred sixty-four".