61714676100 has 144 divisors (see below), whose sum is σ = 222621751296. Its totient is φ = 12823824000.

The previous prime is 61714676087. The next prime is 61714676129. The reversal of 61714676100 is 167641716.

It is a super-2 number, since 2×61714676100² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1312716 + ... + 1358915.

It is an arithmetic number, because the mean of its divisors is an integer number (1545984384).

Almost surely, 2^61714676100 is an apocalyptic number.

61714676100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

61714676100 is an abundant number, since it is smaller than the sum of its proper divisors (160907075196).

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

61714676100 is a wasteful number, since it uses less digits than its factorization.

61714676100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2671666 (or 2671659 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 39.

The spelling of 61714676100 in words is "sixty-one billion, seven hundred fourteen million, six hundred seventy-six thousand, one hundred".