4962457833984 has 320 divisors, whose sum is σ = 17775196243200. Its totient is φ = 1334442000384.

The previous prime is 4962457833947. The next prime is 4962457834021. The reversal of 4962457833984 is 4893387542694.

4962457833984 is a `hidden beast` number, since 4 + 9 + 6 + 2 + 457 + 83 + 3 + 98 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (4962457833947) and next prime (4962457834021).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 136762 + ... + 3153350.

It is an arithmetic number, because the mean of its divisors is an integer number (55547488260).

Almost surely, 2^{4962457833984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4962457833984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8887598121600).

4962457833984 is an abundant number, since it is smaller than the sum of its proper divisors (12812738409216).

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

4962457833984 is a wasteful number, since it uses less digits than its factorization.

4962457833984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3016640 (or 3016618 counting only the distinct ones).

The product of its digits is 1254113280, while the sum is 72.

The spelling of 4962457833984 in words is "four trillion, nine hundred sixty-two billion, four hundred fifty-seven million, eight hundred thirty-three thousand, nine hundred eighty-four".