1067772948480 has 1456 divisors, whose sum is σ = 4656582713664. Its totient is φ = 229323571200.

The previous prime is 1067772948457. The next prime is 1067772948481. The reversal of 1067772948480 is 848492777601.

1067772948480 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 7 + 72 + 9 + 484 + 80 = 666.

It is a super-2 number, since 2×1067772948480² (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 not an unprimeable number, because it can be changed into a prime (1067772948481) by changing a digit.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 1776660180 + ... + 1776660780.

Almost surely, 2^{1067772948480} is an apocalyptic number.

1067772948480 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 1067772948480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2328291356832).

1067772948480 is an abundant number, since it is smaller than the sum of its proper divisors (3588809765184).

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

1067772948480 is an frugal number, since it uses more digits than its factorization.

1067772948480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 635 counting only the distinct ones).

The product of its (nonzero) digits is 37933056, while the sum is 63.

The spelling of 1067772948480 in words is "one trillion, sixty-seven billion, seven hundred seventy-two million, nine hundred forty-eight thousand, four hundred eighty".