4626249489792 has 640 divisors, whose sum is σ = 15872981034240. Its totient is φ = 1315623057408.

The previous prime is 4626249489781. The next prime is 4626249489803. The reversal of 4626249489792 is 2979849426264.

4626249489792 is a `hidden beast` number, since 4 + 6 + 2 + 62 + 494 + 8 + 9 + 79 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (4626249489781) and next prime (4626249489803).

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 4626249489792.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4885162663 + ... + 4885163609.

It is an arithmetic number, because the mean of its divisors is an integer number (24801532866).

Almost surely, 2^{4626249489792} is an apocalyptic number.

4626249489792 is a gapful number since it is divisible by the number (42) 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 4626249489792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7936490517120).

4626249489792 is an abundant number, since it is smaller than the sum of its proper divisors (11246731544448).

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

4626249489792 is an frugal number, since it uses more digits than its factorization.

4626249489792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1236 counting only the distinct ones).

The product of its digits is 752467968, while the sum is 72.

The spelling of 4626249489792 in words is "four trillion, six hundred twenty-six billion, two hundred forty-nine million, four hundred eighty-nine thousand, seven hundred ninety-two".