7649507554920 has 1152 divisors, whose sum is σ = 31975962071040. Its totient is φ = 1568116730880.

The previous prime is 7649507554867. The next prime is 7649507554961. The reversal of 7649507554920 is 294557059467.

7649507554920 is a `hidden beast` number, since 7 + 6 + 4 + 9 + 50 + 7 + 554 + 9 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 6935183089 + ... + 6935184191.

It is an arithmetic number, because the mean of its divisors is an integer number (27756911520).

Almost surely, 2^{7649507554920} is an apocalyptic number.

7649507554920 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 7649507554920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15987981035520).

7649507554920 is an abundant number, since it is smaller than the sum of its proper divisors (24326454516120).

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

7649507554920 is a wasteful number, since it uses less digits than its factorization.

7649507554920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1581 counting only the distinct ones).

The product of its (nonzero) digits is 95256000, while the sum is 63.

The spelling of 7649507554920 in words is "seven trillion, six hundred forty-nine billion, five hundred seven million, five hundred fifty-four thousand, nine hundred twenty".