67622100480 has 1280 divisors, whose sum is σ = 286610227200. Its totient is φ = 14929920000.

The previous prime is 67622100473. The next prime is 67622100593. The reversal of 67622100480 is 8400122676.

67622100480 is a `hidden beast` number, since 6 + 76 + 2 + 2 + 100 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 447828405 + ... + 447828555.

It is an arithmetic number, because the mean of its divisors is an integer number (223914240).

Almost surely, 2^67622100480 is an apocalyptic number.

67622100480 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 67622100480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143305113600).

67622100480 is an abundant number, since it is smaller than the sum of its proper divisors (218988126720).

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

67622100480 is a wasteful number, since it uses less digits than its factorization.

67622100480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 244 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 67622100480 in words is "sixty-seven billion, six hundred twenty-two million, one hundred thousand, four hundred eighty".