67628774400 has 792 divisors, whose sum is σ = 259958453856. Its totient is φ = 15374745600.

The previous prime is 67628774357. The next prime is 67628774419. The reversal of 67628774400 is 447782676.

It is a happy number.

It is a super-2 number, since 2×67628774400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 244147062 + ... + 244147338.

Almost surely, 2^67628774400 is an apocalyptic number.

67628774400 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 67628774400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129979226928).

67628774400 is an abundant number, since it is smaller than the sum of its proper divisors (192329679456).

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

67628774400 is a wasteful number, since it uses less digits than its factorization.

67628774400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 3161088, while the sum is 51.

The spelling of 67628774400 in words is "sixty-seven billion, six hundred twenty-eight million, seven hundred seventy-four thousand, four hundred".