7630857642240 has 1440 divisors, whose sum is σ = 31951902318336. Its totient is φ = 1702807142400.

The previous prime is 7630857642217. The next prime is 7630857642277. The reversal of 7630857642240 is 422467580367.

7630857642240 is a `hidden beast` number, since 7 + 6 + 3 + 0 + 8 + 576 + 4 + 22 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-3 number, since 3×7630857642240³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10885673890 + ... + 10885674590.

Almost surely, 2^{7630857642240} is an apocalyptic number.

7630857642240 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 7630857642240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15975951159168).

7630857642240 is an abundant number, since it is smaller than the sum of its proper divisors (24321044676096).

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

7630857642240 is a wasteful number, since it uses less digits than its factorization.

7630857642240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1077 (or 1054 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 7630857642240 in words is "seven trillion, six hundred thirty billion, eight hundred fifty-seven million, six hundred forty-two thousand, two hundred forty".