61672378050 has 288 divisors, whose sum is σ = 179823490560. Its totient is φ = 15525820800.

The previous prime is 61672378049. The next prime is 61672378069. The reversal of 61672378050 is 5087327616.

61672378050 is a `hidden beast` number, since 616 + 7 + 23 + 7 + 8 + 0 + 5 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 61672377987 and 61672378005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 77380252 + ... + 77381048.

It is an arithmetic number, because the mean of its divisors is an integer number (624387120).

Almost surely, 2^61672378050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61672378050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89911745280).

61672378050 is an abundant number, since it is smaller than the sum of its proper divisors (118151112510).

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

61672378050 is a wasteful number, since it uses less digits than its factorization.

61672378050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 61672378050 in words is "sixty-one billion, six hundred seventy-two million, three hundred seventy-eight thousand, fifty".