4957680000 has 640 divisors, whose sum is σ = 20342488320. Its totient is φ = 1041408000.

The previous prime is 4957679983. The next prime is 4957680001. The reversal of 4957680000 is 867594.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957680001) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 21839887 + ... + 21840113.

It is an arithmetic number, because the mean of its divisors is an integer number (31785138).

Almost surely, 2^4957680000 is an apocalyptic number.

4957680000 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 4957680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10171244160).

4957680000 is an abundant number, since it is smaller than the sum of its proper divisors (15384808320).

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

4957680000 is a wasteful number, since it uses less digits than its factorization.

4957680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 4957680000 is about 70410.7946269604. The cubic root of 4957680000 is about 1705.1378588977.

The spelling of 4957680000 in words is "four billion, nine hundred fifty-seven million, six hundred eighty thousand".