746069395921920 has 2816 divisors, whose sum is σ = 3232908521472000. Its totient is φ = 159375295512576.

The previous prime is 746069395921919. The next prime is 746069395922023. The reversal of 746069395921920 is 29129593960647.

746069395921920 is a `hidden beast` number, since 7 + 4 + 6 + 0 + 6 + 9 + 3 + 9 + 592 + 1 + 9 + 20 = 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, 868532474451 + ... + 868532475309.

Almost surely, 2^{746069395921920} is an apocalyptic number.

746069395921920 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 746069395921920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1616454260736000).

746069395921920 is an abundant number, since it is smaller than the sum of its proper divisors (2486839125550080).

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

746069395921920 is a wasteful number, since it uses less digits than its factorization.

746069395921920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1503 (or 1479 counting only the distinct ones).

The product of its (nonzero) digits is 396809280, while the sum is 72.

The spelling of 746069395921920 in words is "seven hundred forty-six trillion, sixty-nine billion, three hundred ninety-five million, nine hundred twenty-one thousand, nine hundred twenty".