7631408977920 has 3072 divisors, whose sum is σ = 34950569472000. Its totient is φ = 1536977534976.

The previous prime is 7631408977903. The next prime is 7631408977943. The reversal of 7631408977920 is 297798041367.

7631408977920 is a `hidden beast` number, since 76 + 3 + 1 + 408 + 9 + 77 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is a super-3 number, since 3×7631408977920³ (a number of 40 digits) contains 333 as substring.

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

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, 78674319312 + ... + 78674319408.

It is an arithmetic number, because the mean of its divisors is an integer number (11377138500).

Almost surely, 2^{7631408977920} is an apocalyptic number.

7631408977920 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 7631408977920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17475284736000).

7631408977920 is an abundant number, since it is smaller than the sum of its proper divisors (27319160494080).

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

7631408977920 is a wasteful number, since it uses less digits than its factorization.

7631408977920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 265 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 32006016, while the sum is 63.

The spelling of 7631408977920 in words is "seven trillion, six hundred thirty-one billion, four hundred eight million, nine hundred seventy-seven thousand, nine hundred twenty".