10720742400 has 792 divisors, whose sum is σ = 42236979200. Its totient is φ = 2587852800.

The previous prime is 10720742399. The next prime is 10720742437. The reversal of 10720742400 is 424702701.

It is a happy number.

10720742400 is a `hidden beast` number, since 10 + 7 + 207 + 42 + 400 = 666.

It is a super-2 number, since 2×10720742400² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 135705561 + ... + 135705639.

Almost surely, 2^10720742400 is an apocalyptic number.

10720742400 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 10720742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21118489600).

10720742400 is an abundant number, since it is smaller than the sum of its proper divisors (31516236800).

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

10720742400 is a wasteful number, since it uses less digits than its factorization.

10720742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The spelling of 10720742400 in words is "ten billion, seven hundred twenty million, seven hundred forty-two thousand, four hundred".