10437073920 has 1056 divisors, whose sum is σ = 47210042880. Its totient is φ = 2070282240.

The previous prime is 10437073909. The next prime is 10437073937. The reversal of 10437073920 is 2937073401.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 79672255 + ... + 79672385.

It is an arithmetic number, because the mean of its divisors is an integer number (44706480).

Almost surely, 2^10437073920 is an apocalyptic number.

10437073920 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 10437073920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23605021440).

10437073920 is an abundant number, since it is smaller than the sum of its proper divisors (36772968960).

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

10437073920 is a wasteful number, since it uses less digits than its factorization.

10437073920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 36.

The spelling of 10437073920 in words is "ten billion, four hundred thirty-seven million, seventy-three thousand, nine hundred twenty".