67107276480 has 448 divisors, whose sum is σ = 230063040000. Its totient is φ = 16522444800.

The previous prime is 67107276473. The next prime is 67107276487. The reversal of 67107276480 is 8467270176.

It is an interprime number because it is at equal distance from previous prime (67107276473) and next prime (67107276487).

It is a super-2 number, since 2×67107276480² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (67107276487) 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, 134483271 + ... + 134483769.

Almost surely, 2^67107276480 is an apocalyptic number.

67107276480 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 67107276480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115031520000).

67107276480 is an abundant number, since it is smaller than the sum of its proper divisors (162955763520).

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

67107276480 is a wasteful number, since it uses less digits than its factorization.

67107276480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 712 (or 702 counting only the distinct ones).

The product of its (nonzero) digits is 790272, while the sum is 48.

The spelling of 67107276480 in words is "sixty-seven billion, one hundred seven million, two hundred seventy-six thousand, four hundred eighty".