749024762640 has 320 divisors, whose sum is σ = 2944003000320. Its totient is φ = 153003294720.

The previous prime is 749024762599. The next prime is 749024762663. The reversal of 749024762640 is 46267420947.

749024762640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×749024762640³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 746832 + ... + 1433808.

It is an arithmetic number, because the mean of its divisors is an integer number (9200009376).

Almost surely, 2^749024762640 is an apocalyptic number.

749024762640 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 749024762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1472001500160).

749024762640 is an abundant number, since it is smaller than the sum of its proper divisors (2194978237680).

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

749024762640 is a wasteful number, since it uses less digits than its factorization.

749024762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687070 (or 687064 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 749024762640 in words is "seven hundred forty-nine billion, twenty-four million, seven hundred sixty-two thousand, six hundred forty".