761374155649536 has 1920 divisors, whose sum is σ = 2828665545818112. Its totient is φ = 193489993728000.

The previous prime is 761374155649517. The next prime is 761374155649559. The reversal of 761374155649536 is 635946551473167.

761374155649536 is a `hidden beast` number, since 7 + 6 + 1 + 3 + 7 + 4 + 1 + 5 + 564 + 9 + 53 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 149670560785 + ... + 149670565871.

Almost surely, 2^{761374155649536} 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 761374155649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414332772909056).

761374155649536 is an abundant number, since it is smaller than the sum of its proper divisors (2067291390168576).

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

761374155649536 is a wasteful number, since it uses less digits than its factorization.

761374155649536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5614 (or 5595 counting only the distinct ones).

The product of its digits is 1714608000, while the sum is 72.

The spelling of 761374155649536 in words is "seven hundred sixty-one trillion, three hundred seventy-four billion, one hundred fifty-five million, six hundred forty-nine thousand, five hundred thirty-six".