7649039240920 has 1024 divisors, whose sum is σ = 24831442944000. Its totient is φ = 2045133619200.

The previous prime is 7649039240881. The next prime is 7649039240933. The reversal of 7649039240920 is 290429309467.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 6075487251 + ... + 6075488509.

It is an arithmetic number, because the mean of its divisors is an integer number (24249456000).

Almost surely, 2^{7649039240920} is an apocalyptic number.

7649039240920 is a gapful number since it is divisible by the number (70) 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 7649039240920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12415721472000).

7649039240920 is an abundant number, since it is smaller than the sum of its proper divisors (17182403703080).

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

7649039240920 is a wasteful number, since it uses less digits than its factorization.

7649039240920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1552 (or 1548 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 55.

The spelling of 7649039240920 in words is "seven trillion, six hundred forty-nine billion, thirty-nine million, two hundred forty thousand, nine hundred twenty".