67838208362496 has 1920 divisors, whose sum is σ = 254284545715200. Its totient is φ = 17724801024000.

The previous prime is 67838208362471. The next prime is 67838208362543. The reversal of 67838208362496 is 69426380283876.

67838208362496 is a `hidden beast` number, since 6 + 7 + 8 + 38 + 20 + 83 + 6 + 2 + 496 = 666.

It is a super-4 number, since 4×67838208362496⁴ (a number of 56 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 21326062026 + ... + 21326065206.

It is an arithmetic number, because the mean of its divisors is an integer number (132439867560).

Almost surely, 2^{67838208362496} is an apocalyptic number.

67838208362496 is a gapful number since it is divisible by the number (66) 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 67838208362496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127142272857600).

67838208362496 is an abundant number, since it is smaller than the sum of its proper divisors (186446337352704).

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

67838208362496 is a wasteful number, since it uses less digits than its factorization.

67838208362496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3299 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 1003290624, while the sum is 72.

The spelling of 67838208362496 in words is "sixty-seven trillion, eight hundred thirty-eight billion, two hundred eight million, three hundred sixty-two thousand, four hundred ninety-six".