7477788487680 has 1872 divisors, whose sum is σ = 32282524370304. Its totient is φ = 1590731735040.

The previous prime is 7477788487667. The next prime is 7477788487709. The reversal of 7477788487680 is 867848877747.

7477788487680 is a `hidden beast` number, since 7 + 4 + 7 + 7 + 78 + 8 + 487 + 68 + 0 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 7477788487680.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17349857065 + ... + 17349857495.

It is an arithmetic number, because the mean of its divisors is an integer number (17244938232).

Almost surely, 2^{7477788487680} is an apocalyptic number.

7477788487680 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 7477788487680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16141262185152).

7477788487680 is an abundant number, since it is smaller than the sum of its proper divisors (24804735882624).

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

7477788487680 is a wasteful number, since it uses less digits than its factorization.

7477788487680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 610 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 6608781312, while the sum is 81.

The spelling of 7477788487680 in words is "seven trillion, four hundred seventy-seven billion, seven hundred eighty-eight million, four hundred eighty-seven thousand, six hundred eighty".