67101948480 has 336 divisors, whose sum is σ = 262413634176. Its totient is φ = 14435205120.

The previous prime is 67101948421. The next prime is 67101948491. The reversal of 67101948480 is 8484910176.

It is a tau number, because it is divible by the number of its divisors (336).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 757725 + ... + 841635.

Almost surely, 2^67101948480 is an apocalyptic number.

67101948480 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 67101948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131206817088).

67101948480 is an abundant number, since it is smaller than the sum of its proper divisors (195311685696).

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

67101948480 is a wasteful number, since it uses less digits than its factorization.

67101948480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83962 (or 83945 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 67101948480 in words is "sixty-seven billion, one hundred one million, nine hundred forty-eight thousand, four hundred eighty".