3127677680400 has 960 divisors, whose sum is σ = 13073392582656. Its totient is φ = 621333504000.

The previous prime is 3127677680333. The next prime is 3127677680423. The reversal of 3127677680400 is 40867767213.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 125239915 + ... + 125264885.

Almost surely, 2^{3127677680400} is an apocalyptic number.

3127677680400 is a gapful number since it is divisible by the number (30) 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 3127677680400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6536696291328).

3127677680400 is an abundant number, since it is smaller than the sum of its proper divisors (9945714902256).

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

3127677680400 is a wasteful number, since it uses less digits than its factorization.

3127677680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25080 (or 25069 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 3127677680400 in words is "three trillion, one hundred twenty-seven billion, six hundred seventy-seven million, six hundred eighty thousand, four hundred".