67381493760000 has 2080 divisors, whose sum is σ = 301893246737280. Its totient is φ = 14495514624000.

The previous prime is 67381493759953. The next prime is 67381493760047. The reversal of 67381493760000 is 6739418376.

67381493760000 is a `hidden beast` number, since 6 + 7 + 3 + 81 + 493 + 76 + 0 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (67381493759953) and next prime (67381493760047).

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 79 ways as a sum of consecutive naturals, for example, 3963617279992 + ... + 3963617280008.

Almost surely, 2^{67381493760000} is an apocalyptic number.

67381493760000 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 67381493760000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150946623368640).

67381493760000 is an abundant number, since it is smaller than the sum of its proper divisors (234511752977280).

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

67381493760000 is an frugal number, since it uses more digits than its factorization.

67381493760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 67381493760000 in words is "sixty-seven trillion, three hundred eighty-one billion, four hundred ninety-three million, seven hundred sixty thousand".