10464415803720 has 768 divisors, whose sum is σ = 36540309012480. Its totient is φ = 2592866764800.

The previous prime is 10464415803707. The next prime is 10464415803731. The reversal of 10464415803720 is 2730851446401.

10464415803720 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 4 + 41 + 580 + 3 + 7 + 20 = 666.

It is a super-2 number, since 2×10464415803720² (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 polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6835019355 + ... + 6835020885.

It is an arithmetic number, because the mean of its divisors is an integer number (47578527360).

Almost surely, 2^{10464415803720} is an apocalyptic number.

10464415803720 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 10464415803720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18270154506240).

10464415803720 is an abundant number, since it is smaller than the sum of its proper divisors (26075893208760).

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

10464415803720 is a wasteful number, since it uses less digits than its factorization.

10464415803720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1866 (or 1859 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 10464415803720 in words is "ten trillion, four hundred sixty-four billion, four hundred fifteen million, eight hundred three thousand, seven hundred twenty".