616201297920 has 672 divisors, whose sum is σ = 2334031749504. Its totient is φ = 149461401600.

The previous prime is 616201297853. The next prime is 616201297967. The reversal of 616201297920 is 29792102616.

616201297920 is a `hidden beast` number, since 6 + 1 + 620 + 12 + 9 + 7 + 9 + 2 + 0 = 666.

616201297920 is digitally balanced in base 7, 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 340253815 + ... + 340255625.

It is an arithmetic number, because the mean of its divisors is an integer number (3473261532).

Almost surely, 2^616201297920 is an apocalyptic number.

616201297920 is a gapful number since it is divisible by the number (60) 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 616201297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167015874752).

616201297920 is an abundant number, since it is smaller than the sum of its proper divisors (1717830451584).

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

616201297920 is a wasteful number, since it uses less digits than its factorization.

616201297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 616201297920 in words is "six hundred sixteen billion, two hundred one million, two hundred ninety-seven thousand, nine hundred twenty".