67752821136 has 640 divisors, whose sum is σ = 251999870976. Its totient is φ = 15109079040.

The previous prime is 67752821089. The next prime is 67752821137. The reversal of 67752821136 is 63112825776.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (67752821137) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 40888020 + ... + 40889676.

Almost surely, 2^67752821136 is an apocalyptic number.

67752821136 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 67752821136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125999935488).

67752821136 is an abundant number, since it is smaller than the sum of its proper divisors (184247049840).

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

67752821136 is a wasteful number, since it uses less digits than its factorization.

67752821136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1759 (or 1753 counting only the distinct ones).

The product of its digits is 846720, while the sum is 48.

It can be divided in two parts, 67752 and 821136, that added together give a palindrome (888888).

The spelling of 67752821136 in words is "sixty-seven billion, seven hundred fifty-two million, eight hundred twenty-one thousand, one hundred thirty-six".