10774764000 has 1728 divisors, whose sum is σ = 53869390848. Its totient is φ = 1976832000.

The previous prime is 10774763981. The next prime is 10774764019. The reversal of 10774764000 is 46747701.

10774764000 is a `hidden beast` number, since 1 + 0 + 7 + 7 + 4 + 7 + 640 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10774763981) and next prime (10774764019).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 468467989 + ... + 468468011.

It is an arithmetic number, because the mean of its divisors is an integer number (31174416).

Almost surely, 2^10774764000 is an apocalyptic number.

10774764000 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 10774764000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26934695424).

10774764000 is an abundant number, since it is smaller than the sum of its proper divisors (43094626848).

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

10774764000 is a wasteful number, since it uses less digits than its factorization.

10774764000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The spelling of 10774764000 in words is "ten billion, seven hundred seventy-four million, seven hundred sixty-four thousand".