1067376640000 has 680 divisors, whose sum is σ = 3066079940352. Its totient is φ = 367656960000.

The previous prime is 1067376639997. The next prime is 1067376640003. The reversal of 1067376640000 is 466737601.

It is an interprime number because it is at equal distance from previous prime (1067376639997) and next prime (1067376640003).

It is a super-2 number, since 2×1067376640000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1067376640003) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10362879949 + ... + 10362880051.

Almost surely, 2^{1067376640000} is an apocalyptic number.

1067376640000 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 1067376640000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1533039970176).

1067376640000 is an abundant number, since it is smaller than the sum of its proper divisors (1998703300352).

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

1067376640000 is an frugal number, since it uses more digits than its factorization.

1067376640000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The spelling of 1067376640000 in words is "one trillion, sixty-seven billion, three hundred seventy-six million, six hundred forty thousand".