67578900480 has 1664 divisors, whose sum is σ = 317050675200. Its totient is φ = 13249806336.

The previous prime is 67578900421. The next prime is 67578900533. The reversal of 67578900480 is 8400987576.

67578900480 is a `hidden beast` number, since 6 + 7 + 5 + 78 + 90 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1664).

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 855429081 + ... + 855429159.

Almost surely, 2^67578900480 is an apocalyptic number.

67578900480 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 67578900480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158525337600).

67578900480 is an abundant number, since it is smaller than the sum of its proper divisors (249471774720).

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

67578900480 is a wasteful number, since it uses less digits than its factorization.

67578900480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 67578900480 in words is "sixty-seven billion, five hundred seventy-eight million, nine hundred thousand, four hundred eighty".