749661588900 has 1215 divisors, whose sum is σ = 2989443977793. Its totient is φ = 157096195200.

The previous prime is 749661588883. The next prime is 749661588953. The reversal of 749661588900 is 9885166947.

The square root of 749661588900 is 865830.

It is a perfect power (a square), and thus also a powerful number.

749661588900 is a `hidden beast` number, since 7 + 4 + 9 + 6 + 615 + 8 + 8 + 9 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 269878172004 + 479783416896 = 519498^2 + 692664^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 24182631885 + ... + 24182631915.

Almost surely, 2^749661588900 is an apocalyptic number.

749661588900 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

749661588900 is the 865830-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 749661588900

749661588900 is an abundant number, since it is smaller than the sum of its proper divisors (2239782388893).

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

749661588900 is a wasteful number, since it uses less digits than its factorization.

749661588900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The spelling of 749661588900 in words is "seven hundred forty-nine billion, six hundred sixty-one million, five hundred eighty-eight thousand, nine hundred".