761153172480 has 528 divisors, whose sum is σ = 2801921154240. Its totient is φ = 195945136128.

The previous prime is 761153172473. The next prime is 761153172487. The reversal of 761153172480 is 84271351167.

761153172480 is a `hidden beast` number, since 7 + 6 + 1 + 1 + 531 + 72 + 48 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (761153172473) and next prime (761153172487).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (761153172487) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116256567 + ... + 116263113.

Almost surely, 2^761153172480 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 761153172480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400960577120).

761153172480 is an abundant number, since it is smaller than the sum of its proper divisors (2040767981760).

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

761153172480 is a wasteful number, since it uses less digits than its factorization.

761153172480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6639 (or 6586 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 761153172480 in words is "seven hundred sixty-one billion, one hundred fifty-three million, one hundred seventy-two thousand, four hundred eighty".