67761930240 has 816 divisors, whose sum is σ = 261068266368. Its totient is φ = 16817061888.

The previous prime is 67761930221. The next prime is 67761930241. The reversal of 67761930240 is 4203916776.

67761930240 is a `hidden beast` number, since 6 + 7 + 7 + 619 + 3 + 0 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67761930241) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1831403502 + ... + 1831403538.

Almost surely, 2^67761930240 is an apocalyptic number.

67761930240 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 67761930240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130534133184).

67761930240 is an abundant number, since it is smaller than the sum of its proper divisors (193306336128).

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

67761930240 is an frugal number, since it uses more digits than its factorization.

67761930240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

It can be divided in two parts, 67761 and 930240, that added together give a square (998001 = 999²).

The spelling of 67761930240 in words is "sixty-seven billion, seven hundred sixty-one million, nine hundred thirty thousand, two hundred forty".