4900097690880 has 1152 divisors, whose sum is σ = 19256412413952. Its totient is φ = 1036542541824.

The previous prime is 4900097690861. The next prime is 4900097690881. The reversal of 4900097690880 is 880967900094.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4900097690881) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10061801997 + ... + 10061802483.

It is an arithmetic number, because the mean of its divisors is an integer number (16715635776).

Almost surely, 2^{4900097690880} is an apocalyptic number.

4900097690880 is a gapful number since it is divisible by the number (40) 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 4900097690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9628206206976).

4900097690880 is an abundant number, since it is smaller than the sum of its proper divisors (14356314723072).

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

4900097690880 is a wasteful number, since it uses less digits than its factorization.

4900097690880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 4900097690880 in words is "four trillion, nine hundred billion, ninety-seven million, six hundred ninety thousand, eight hundred eighty".