67706064972 has 576 divisors, whose sum is σ = 231662592000. Its totient is φ = 16926174720.

The previous prime is 67706064953. The next prime is 67706064983. The reversal of 67706064972 is 27946060776.

It is a happy number.

It is a super-2 number, since 2×67706064972² (a number of 22 digits) contains 22 as substring.

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 191 ways as a sum of consecutive naturals, for example, 113031529 + ... + 113032127.

It is an arithmetic number, because the mean of its divisors is an integer number (402192000).

Almost surely, 2^67706064972 is an apocalyptic number.

67706064972 is a gapful number since it is divisible by the number (62) 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 67706064972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115831296000).

67706064972 is an abundant number, since it is smaller than the sum of its proper divisors (163956527028).

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

67706064972 is a wasteful number, since it uses less digits than its factorization.

67706064972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 723 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 67706064972 in words is "sixty-seven billion, seven hundred six million, sixty-four thousand, nine hundred seventy-two".