10674270266400 has 720 divisors, whose sum is σ = 42313517636544. Its totient is φ = 2602934507520.

The previous prime is 10674270266339. The next prime is 10674270266447. The reversal of 10674270266400 is 466207247601.

10674270266400 is a `hidden beast` number, since 10 + 6 + 74 + 270 + 266 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×10674270266400² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 90077589 + ... + 90196011.

Almost surely, 2^{10674270266400} is an apocalyptic number.

10674270266400 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 10674270266400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21156758818272).

10674270266400 is an abundant number, since it is smaller than the sum of its proper divisors (31639247370144).

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

10674270266400 is a wasteful number, since it uses less digits than its factorization.

10674270266400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118575 (or 118553 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 10674270266400 in words is "ten trillion, six hundred seventy-four billion, two hundred seventy million, two hundred sixty-six thousand, four hundred".