747458800512480 has 3840 divisors, whose sum is σ = 3250377430401024. Its totient is φ = 158165004533760.

The previous prime is 747458800512433. The next prime is 747458800512491. The reversal of 747458800512480 is 84215008854747.

747458800512480 is a `hidden beast` number, since 7 + 4 + 7 + 4 + 588 + 0 + 0 + 5 + 1 + 2 + 48 + 0 = 666.

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 639 ways as a sum of consecutive naturals, for example, 2154059943667 + ... + 2154059944013.

Almost surely, 2^{747458800512480} is an apocalyptic number.

747458800512480 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 747458800512480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1625188715200512).

747458800512480 is an abundant number, since it is smaller than the sum of its proper divisors (2502918629888544).

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

747458800512480 is a wasteful number, since it uses less digits than its factorization.

747458800512480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 739 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 80281600, while the sum is 63.

The spelling of 747458800512480 in words is "seven hundred forty-seven trillion, four hundred fifty-eight billion, eight hundred million, five hundred twelve thousand, four hundred eighty".