10674961440 has 192 divisors, whose sum is σ = 39505076352. Its totient is φ = 2388787200.

The previous prime is 10674961361. The next prime is 10674961447. The reversal of 10674961440 is 4416947601.

It is a super-2 number, since 2×10674961440² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10674961392 and 10674961401.

It is not an unprimeable number, because it can be changed into a prime (10674961447) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9121 + ... + 146400.

It is an arithmetic number, because the mean of its divisors is an integer number (205755606).

Almost surely, 2^10674961440 is an apocalyptic number.

10674961440 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 10674961440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19752538176).

10674961440 is an abundant number, since it is smaller than the sum of its proper divisors (28830114912).

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

10674961440 is a wasteful number, since it uses less digits than its factorization.

10674961440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155563 (or 155555 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 10674961440 in words is "ten billion, six hundred seventy-four million, nine hundred sixty-one thousand, four hundred forty".