749625098442400 has 864 divisors, whose sum is σ = 2055894135447600. Its totient is φ = 266386975948800.

The previous prime is 749625098442383. The next prime is 749625098442431. The reversal of 749625098442400 is 4244890526947.

It can be written as a sum of positive squares in 24 ways, for example, as 79958147892624 + 669666950549776 = 8941932^2 + 25877924^2 .

It is a super-2 number, since 2×749625098442400² (a number of 31 digits) contains 22 as substring.

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, 78634748034 + ... + 78634757566.

Almost surely, 2^{749625098442400} 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 749625098442400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027947067723800).

749625098442400 is an abundant number, since it is smaller than the sum of its proper divisors (1306269037005200).

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

749625098442400 is a wasteful number, since it uses less digits than its factorization.

749625098442400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9890 (or 9858 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 64.

The spelling of 749625098442400 in words is "seven hundred forty-nine trillion, six hundred twenty-five billion, ninety-eight million, four hundred forty-two thousand, four hundred".