1067877457920 has 1792 divisors, whose sum is σ = 4766619432960. Its totient is φ = 223590481920.

The previous prime is 1067877457891. The next prime is 1067877457973. The reversal of 1067877457920 is 297547787601.

1067877457920 is a `hidden beast` number, since 10 + 6 + 7 + 87 + 7 + 457 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1792).

It is a super-2 number, since 2×1067877457920² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

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, 8151736255 + ... + 8151736385.

It is an arithmetic number, because the mean of its divisors is an integer number (2659943880).

Almost surely, 2^{1067877457920} is an apocalyptic number.

1067877457920 is a gapful number since it is divisible by the number (10) 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 1067877457920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2383309716480).

1067877457920 is an abundant number, since it is smaller than the sum of its proper divisors (3698741975040).

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

1067877457920 is an frugal number, since it uses more digits than its factorization.

1067877457920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 203 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 1067877457920 in words is "one trillion, sixty-seven billion, eight hundred seventy-seven million, four hundred fifty-seven thousand, nine hundred twenty".