747668009088 has 1280 divisors, whose sum is σ = 3039022990080. Its totient is φ = 176173056000.

The previous prime is 747668009087. The next prime is 747668009111. The reversal of 747668009088 is 880900866747.

747668009088 is a `hidden beast` number, since 7 + 476 + 6 + 80 + 0 + 9 + 0 + 88 = 666.

It is a super-2 number, since 2×747668009088² (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (747668009087) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 633079858 + ... + 633081038.

It is an arithmetic number, because the mean of its divisors is an integer number (2374236711).

Almost surely, 2^747668009088 is an apocalyptic number.

747668009088 is a gapful number since it is divisible by the number (78) 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 747668009088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519511495040).

747668009088 is an abundant number, since it is smaller than the sum of its proper divisors (2291354980992).

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

747668009088 is a wasteful number, since it uses less digits than its factorization.

747668009088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1299 (or 1278 counting only the distinct ones).

The product of its (nonzero) digits is 32514048, while the sum is 63.

The spelling of 747668009088 in words is "seven hundred forty-seven billion, six hundred sixty-eight million, nine thousand, eighty-eight".