7630153741980 has 768 divisors, whose sum is σ = 31022953758720. Its totient is φ = 1510829107200.

The previous prime is 7630153741963. The next prime is 7630153742009. The reversal of 7630153741980 is 891473510367.

7630153741980 is a `hidden beast` number, since 7 + 63 + 0 + 1 + 537 + 41 + 9 + 8 + 0 = 666.

It is a super-2 number, since 2×7630153741980² (a number of 27 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 73253497 + ... + 73357583.

It is an arithmetic number, because the mean of its divisors is an integer number (40394471040).

Almost surely, 2^{7630153741980} is an apocalyptic number.

7630153741980 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 7630153741980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15511476879360).

7630153741980 is an abundant number, since it is smaller than the sum of its proper divisors (23392800016740).

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

7630153741980 is a wasteful number, since it uses less digits than its factorization.

7630153741980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104207 (or 104199 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 7630153741980 in words is "seven trillion, six hundred thirty billion, one hundred fifty-three million, seven hundred forty-one thousand, nine hundred eighty".