10674036964800 has 1344 divisors, whose sum is σ = 45314328268800. Its totient is φ = 2416780800000.

The previous prime is 10674036964589. The next prime is 10674036964823. The reversal of 10674036964800 is 846963047601.

10674036964800 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 40 + 36 + 96 + 480 + 0 = 666.

It is a super-2 number, since 2×10674036964800² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 641036475 + ... + 641053125.

Almost surely, 2^{10674036964800} is an apocalyptic number.

10674036964800 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 10674036964800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22657164134400).

10674036964800 is an abundant number, since it is smaller than the sum of its proper divisors (34640291304000).

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

10674036964800 is a wasteful number, since it uses less digits than its factorization.

10674036964800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16783 (or 16762 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The spelling of 10674036964800 in words is "ten trillion, six hundred seventy-four billion, thirty-six million, nine hundred sixty-four thousand, eight hundred".