10674567993600 has 972 divisors, whose sum is σ = 44669131315536. Its totient is φ = 2424828026880.

The previous prime is 10674567993563. The next prime is 10674567993629. The reversal of 10674567993600 is 639976547601.

10674567993600 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 4 + 567 + 9 + 9 + 3 + 60 + 0 = 666.

It is a super-2 number, since 2×10674567993600² (a number of 27 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 460039599 + ... + 460062801.

Almost surely, 2^{10674567993600} is an apocalyptic number.

10674567993600 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 10674567993600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22334565657768).

10674567993600 is an abundant number, since it is smaller than the sum of its proper divisors (33994563321936).

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

10674567993600 is a wasteful number, since it uses less digits than its factorization.

10674567993600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23412 (or 23383 counting only the distinct ones).

The product of its (nonzero) digits is 51438240, while the sum is 63.

The spelling of 10674567993600 in words is "ten trillion, six hundred seventy-four billion, five hundred sixty-seven million, nine hundred ninety-three thousand, six hundred".