7626097920 has 432 divisors, whose sum is σ = 28651254912. Its totient is φ = 1693286400.

The previous prime is 7626097907. The next prime is 7626097931. The reversal of 7626097920 is 297906267.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 7626097920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75505870 + ... + 75505970.

Almost surely, 2^7626097920 is an apocalyptic number.

7626097920 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 7626097920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14325627456).

7626097920 is an abundant number, since it is smaller than the sum of its proper divisors (21025156992).

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

7626097920 is a wasteful number, since it uses less digits than its factorization.

7626097920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 238 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 571536, while the sum is 48.

The square root of 7626097920 is about 87327.5324282096. The cubic root of 7626097920 is about 1968.3430560662.

The spelling of 7626097920 in words is "seven billion, six hundred twenty-six million, ninety-seven thousand, nine hundred twenty".