67498928640 has 640 divisors, whose sum is σ = 281719468800. Its totient is φ = 15102443520.

The previous prime is 67498928639. The next prime is 67498928647. The reversal of 67498928640 is 4682989476.

67498928640 is a `hidden beast` number, since 67 + 498 + 9 + 2 + 86 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×67498928640² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (67498928647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9880746 + ... + 9887574.

It is an arithmetic number, because the mean of its divisors is an integer number (440186670).

Almost surely, 2^67498928640 is an apocalyptic number.

67498928640 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 67498928640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140859734400).

67498928640 is an abundant number, since it is smaller than the sum of its proper divisors (214220540160).

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

67498928640 is a wasteful number, since it uses less digits than its factorization.

67498928640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885 (or 6863 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 67498928640 in words is "sixty-seven billion, four hundred ninety-eight million, nine hundred twenty-eight thousand, six hundred forty".