67464638162400 has 1152 divisors, whose sum is σ = 252950050160640. Its totient is φ = 15505108992000.

The previous prime is 67464638162393. The next prime is 67464638162407. The reversal of 67464638162400 is 426183646476.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (67464638162393) and next prime (67464638162407).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67464638162407) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 37753014307 + ... + 37753016093.

It is an arithmetic number, because the mean of its divisors is an integer number (219574696320).

Almost surely, 2^{67464638162400} is an apocalyptic number.

67464638162400 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 67464638162400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126475025080320).

67464638162400 is an abundant number, since it is smaller than the sum of its proper divisors (185485411998240).

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

67464638162400 is a wasteful number, since it uses less digits than its factorization.

67464638162400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3448 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 57.

The spelling of 67464638162400 in words is "sixty-seven trillion, four hundred sixty-four billion, six hundred thirty-eight million, one hundred sixty-two thousand, four hundred".