67536838886400 has 1485 divisors, whose sum is σ = 271415997407511. Its totient is φ = 16586583736320.

The previous prime is 67536838886393. The next prime is 67536838886459. The reversal of 67536838886400 is 468883863576.

The square root of 67536838886400 is 8218080.

It is a perfect power (a square), and thus also a powerful number.

67536838886400 is a `hidden beast` number, since 6 + 7 + 5 + 3 + 68 + 3 + 88 + 86 + 400 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17407720129536 + 50129118756864 = 4172256^2 + 7080192^2 .

It is a super-2 number, since 2×67536838886400² (a number of 28 digits) contains 22 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 134 ways as a sum of consecutive naturals, for example, 153842457381 + ... + 153842457819.

Almost surely, 2^{67536838886400} is an apocalyptic number.

67536838886400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

67536838886400 is the 8218080-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 67536838886400

67536838886400 is an abundant number, since it is smaller than the sum of its proper divisors (203879158521111).

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

67536838886400 is an equidigital number, since it uses as much as digits as its factorization.

67536838886400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 67536838886400 in words is "sixty-seven trillion, five hundred thirty-six billion, eight hundred thirty-eight million, eight hundred eighty-six thousand, four hundred".