4962579279840 has 1728 divisors, whose sum is σ = 22097903720256. Its totient is φ = 1004293914624.

The previous prime is 4962579279811. The next prime is 4962579279841. The reversal of 4962579279840 is 489729752694.

4962579279840 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 579 + 2 + 7 + 9 + 8 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4962579279841) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2477572279 + ... + 2477574281.

It is an arithmetic number, because the mean of its divisors is an integer number (12788138727).

Almost surely, 2^{4962579279840} is an apocalyptic number.

4962579279840 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 4962579279840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11048951860128).

4962579279840 is an abundant number, since it is smaller than the sum of its proper divisors (17135324440416).

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

4962579279840 is a wasteful number, since it uses less digits than its factorization.

4962579279840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2161 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 4962579279840 in words is "four trillion, nine hundred sixty-two billion, five hundred seventy-nine million, two hundred seventy-nine thousand, eight hundred forty".