61167677000 has 64 divisors (see below), whose sum is σ = 143285725440. Its totient is φ = 24440856000.

The previous prime is 61167676987. The next prime is 61167677009. The reversal of 61167677000 is 77676116.

61167677000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (61167677009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 914705 + ... + 979295.

It is an arithmetic number, because the mean of its divisors is an integer number (2238839460).

Almost surely, 2^61167677000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61167677000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71642862720).

61167677000 is an abundant number, since it is smaller than the sum of its proper divisors (82118048440).

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

61167677000 is a wasteful number, since it uses less digits than its factorization.

61167677000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65559 (or 65545 counting only the distinct ones).

The product of its (nonzero) digits is 74088, while the sum is 41.

Adding to 61167677000 its sum of digits (41), we get a square (61167677041 = 247321²).

The spelling of 61167677000 in words is "sixty-one billion, one hundred sixty-seven million, six hundred seventy-seven thousand".