748217493872640 has 3584 divisors, whose sum is σ = 3183020723404800. Its totient is φ = 166103521689600.

The previous prime is 748217493872633. The next prime is 748217493872657. The reversal of 748217493872640 is 46278394712847.

748217493872640 is a `hidden beast` number, since 7 + 4 + 8 + 2 + 1 + 7 + 493 + 8 + 72 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

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, 866995936849 + ... + 866995937711.

Almost surely, 2^{748217493872640} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 748217493872640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1591510361702400).

748217493872640 is an abundant number, since it is smaller than the sum of its proper divisors (2434803229532160).

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

748217493872640 is a wasteful number, since it uses less digits than its factorization.

748217493872640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986 (or 934 counting only the distinct ones).

The product of its (nonzero) digits is 910393344, while the sum is 72.

The spelling of 748217493872640 in words is "seven hundred forty-eight trillion, two hundred seventeen billion, four hundred ninety-three million, eight hundred seventy-two thousand, six hundred forty".