61876266120 has 704 divisors, whose sum is σ = 234172840320. Its totient is φ = 14632814592.

The previous prime is 61876266113. The next prime is 61876266131. The reversal of 61876266120 is 2166267816.

61876266120 is a `hidden beast` number, since 6 + 1 + 8 + 7 + 6 + 26 + 612 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 175 ways as a sum of consecutive naturals, for example, 923526327 + ... + 923526393.

Almost surely, 2^61876266120 is an apocalyptic number.

61876266120 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 61876266120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117086420160).

61876266120 is an abundant number, since it is smaller than the sum of its proper divisors (172296574200).

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

61876266120 is a wasteful number, since it uses less digits than its factorization.

61876266120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 61876266120 in words is "sixty-one billion, eight hundred seventy-six million, two hundred sixty-six thousand, one hundred twenty".