67778648100 has 144 divisors (see below), whose sum is σ = 230713358400. Its totient is φ = 17011100160.

The previous prime is 67778648059. The next prime is 67778648123. The reversal of 67778648100 is 184687776.

67778648100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×67778648100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 692430 + ... + 784229.

It is an arithmetic number, because the mean of its divisors is an integer number (1602176100).

Almost surely, 2^67778648100 is an apocalyptic number.

67778648100 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67778648100 is an abundant number, since it is smaller than the sum of its proper divisors (162934710300).

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

67778648100 is a wasteful number, since it uses less digits than its factorization.

67778648100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476699 (or 1476686 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 54.

The spelling of 67778648100 in words is "sixty-seven billion, seven hundred seventy-eight million, six hundred forty-eight thousand, one hundred".