920610036720 has 480 divisors, whose sum is σ = 3493323288000. Its totient is φ = 215220633600.

The previous prime is 920610036649. The next prime is 920610036721. The reversal of 920610036720 is 27630016029.

920610036720 is a `hidden beast` number, since 9 + 2 + 0 + 610 + 0 + 36 + 7 + 2 + 0 = 666.

920610036720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (920610036721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 240932410 + ... + 240936230.

It is an arithmetic number, because the mean of its divisors is an integer number (7277756850).

Almost surely, 2^920610036720 is an apocalyptic number.

920610036720 is a gapful number since it is divisible by the number (90) 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 920610036720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746661644000).

920610036720 is an abundant number, since it is smaller than the sum of its proper divisors (2572713251280).

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

920610036720 is a wasteful number, since it uses less digits than its factorization.

920610036720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4929 (or 4920 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 920610036720 in words is "nine hundred twenty billion, six hundred ten million, thirty-six thousand, seven hundred twenty".