761187248640 has 2400 divisors, whose sum is σ = 3522883985280. Its totient is φ = 153614942208.

The previous prime is 761187248603. The next prime is 761187248663. The reversal of 761187248640 is 46842781167.

761187248640 is a `hidden beast` number, since 7 + 6 + 118 + 7 + 2 + 486 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 7113899467 + ... + 7113899573.

Almost surely, 2^761187248640 is an apocalyptic number.

761187248640 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 761187248640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1761441992640).

761187248640 is an abundant number, since it is smaller than the sum of its proper divisors (2761696736640).

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

761187248640 is a wasteful number, since it uses less digits than its factorization.

761187248640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 761187248640 in words is "seven hundred sixty-one billion, one hundred eighty-seven million, two hundred forty-eight thousand, six hundred forty".