10372416737280 has 832 divisors, whose sum is σ = 36949482001152. Its totient is φ = 2468012359680.

The previous prime is 10372416737261. The next prime is 10372416737311. The reversal of 10372416737280 is 8273761427301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (832).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3700468359 + ... + 3700471161.

Almost surely, 2^{10372416737280} is an apocalyptic number.

10372416737280 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 10372416737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18474741000576).

10372416737280 is an abundant number, since it is smaller than the sum of its proper divisors (26577065263872).

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

10372416737280 is a wasteful number, since it uses less digits than its factorization.

10372416737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3002 (or 2980 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 51.

The spelling of 10372416737280 in words is "ten trillion, three hundred seventy-two billion, four hundred sixteen million, seven hundred thirty-seven thousand, two hundred eighty".