7667006780160 has 2304 divisors, whose sum is σ = 36394057728000. Its totient is φ = 1482720215040.

The previous prime is 7667006780063. The next prime is 7667006780197. The reversal of 7667006780160 is 610876007667.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a junction number, because it is equal to n+sod(n) for n = 7667006780097 and 7667006780106.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1852379371 + ... + 1852383509.

It is an arithmetic number, because the mean of its divisors is an integer number (15796032000).

Almost surely, 2^{7667006780160} is an apocalyptic number.

7667006780160 is a gapful number since it is divisible by the number (70) 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 7667006780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18197028864000).

7667006780160 is an abundant number, since it is smaller than the sum of its proper divisors (28727050947840).

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

7667006780160 is a wasteful number, since it uses less digits than its factorization.

7667006780160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4239 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 7667006780160 in words is "seven trillion, six hundred sixty-seven billion, six million, seven hundred eighty thousand, one hundred sixty".