10374780672 has 360 divisors, whose sum is σ = 34501698000. Its totient is φ = 3081535488.

The previous prime is 10374780629. The next prime is 10374780677. The reversal of 10374780672 is 27608747301.

10374780672 is a `hidden beast` number, since 103 + 7 + 478 + 0 + 6 + 72 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10374780677) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6696954 + ... + 6698502.

It is an arithmetic number, because the mean of its divisors is an integer number (95838050).

Almost surely, 2^10374780672 is an apocalyptic number.

10374780672 is a gapful number since it is divisible by the number (12) 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 10374780672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17250849000).

10374780672 is an abundant number, since it is smaller than the sum of its proper divisors (24126917328).

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

10374780672 is a wasteful number, since it uses less digits than its factorization.

10374780672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1613 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The spelling of 10374780672 in words is "ten billion, three hundred seventy-four million, seven hundred eighty thousand, six hundred seventy-two".