61347067920 has 120 divisors (see below), whose sum is σ = 206177279256. Its totient is φ = 16347039744.

The previous prime is 61347067919. The next prime is 61347067927. The reversal of 61347067920 is 2976074316.

61347067920 is a `hidden beast` number, since 613 + 4 + 7 + 0 + 6 + 7 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19574248464 + 41772819456 = 139908^2 + 204384^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 (61347067927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957532 + ... + 1019588.

Almost surely, 2^61347067920 is an apocalyptic number.

61347067920 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 61347067920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103088639628).

61347067920 is an abundant number, since it is smaller than the sum of its proper divisors (144830211336).

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

61347067920 is a wasteful number, since it uses less digits than its factorization.

61347067920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63449 (or 63440 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The spelling of 61347067920 in words is "sixty-one billion, three hundred forty-seven million, sixty-seven thousand, nine hundred twenty".