67145981400 has 384 divisors, whose sum is σ = 239998924800. Its totient is φ = 17236800000.

The previous prime is 67145981363. The next prime is 67145981407. The reversal of 67145981400 is 418954176.

67145981400 is a `hidden beast` number, since 6 + 7 + 14 + 598 + 1 + 40 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67145981407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35320450 + ... + 35322350.

It is an arithmetic number, because the mean of its divisors is an integer number (624997200).

Almost surely, 2^67145981400 is an apocalyptic number.

67145981400 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 67145981400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119999462400).

67145981400 is an abundant number, since it is smaller than the sum of its proper divisors (172852943400).

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

67145981400 is a wasteful number, since it uses less digits than its factorization.

67145981400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2168 (or 2153 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 67145981400 in words is "sixty-seven billion, one hundred forty-five million, nine hundred eighty-one thousand, four hundred".