763207280640 has 768 divisors, whose sum is σ = 3283055193600. Its totient is φ = 164178690048.

The previous prime is 763207280621. The next prime is 763207280651. The reversal of 763207280640 is 46082702367.

763207280640 is a `hidden beast` number, since 7 + 6 + 320 + 7 + 280 + 6 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a super-3 number, since 3×763207280640³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 32889522 + ... + 32912718.

It is an arithmetic number, because the mean of its divisors is an integer number (4274811450).

Almost surely, 2^763207280640 is an apocalyptic number.

763207280640 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 763207280640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1641527596800).

763207280640 is an abundant number, since it is smaller than the sum of its proper divisors (2519847912960).

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

763207280640 is a wasteful number, since it uses less digits than its factorization.

763207280640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23257 (or 23231 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The spelling of 763207280640 in words is "seven hundred sixty-three billion, two hundred seven million, two hundred eighty thousand, six hundred forty".